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Finding the Third Proportional to 373,399,319,799 and 803,431,541,497

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Solution

The third proportional to 373,399,319,799 and 803,431,541,497 is: 1,728,718,312,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,399,319,799 : 803,431,541,497 = 803,431,541,497 : x
  2. Step 2: Convert to fraction form
    373,399,319,799/803,431,541,497 = 803,431,541,497/x
  3. Step 3: Cross multiply
    373,399,319,799x = 803,431,541,497 × 803,431,541,497
  4. Step 4: Simplify right side
    373,399,319,799x = 645,502,241,872,245,612,871,680
  5. Step 5: Solve for x
    x = 645,502,241,872,245,612,871,680/373,399,319,799
  6. Step 6: Final answer
    x = 1,728,718,312,126.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.