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Finding the Third Proportional to 810,975,498 and 1,256,307,536

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Solution

The third proportional to 810,975,498 and 1,256,307,536 is: 1,946,185,339.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,975,498 : 1,256,307,536 = 1,256,307,536 : x
  2. Step 2: Convert to fraction form
    810,975,498/1,256,307,536 = 1,256,307,536/x
  3. Step 3: Cross multiply
    810,975,498x = 1,256,307,536 × 1,256,307,536
  4. Step 4: Simplify right side
    810,975,498x = 1,578,308,625,010,391,296
  5. Step 5: Solve for x
    x = 1,578,308,625,010,391,296/810,975,498
  6. Step 6: Final answer
    x = 1,946,185,339.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.