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Finding the Third Proportional to 279,894,988 and 385,829,718

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Solution

The third proportional to 279,894,988 and 385,829,718 is: 531,858,652.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,894,988 : 385,829,718 = 385,829,718 : x
  2. Step 2: Convert to fraction form
    279,894,988/385,829,718 = 385,829,718/x
  3. Step 3: Cross multiply
    279,894,988x = 385,829,718 × 385,829,718
  4. Step 4: Simplify right side
    279,894,988x = 148,864,571,291,959,520
  5. Step 5: Solve for x
    x = 148,864,571,291,959,520/279,894,988
  6. Step 6: Final answer
    x = 531,858,652.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.