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Finding the Third Proportional to 543,348,291 and 847,307,415

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Solution

The third proportional to 543,348,291 and 847,307,415 is: 1,321,306,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,348,291 : 847,307,415 = 847,307,415 : x
  2. Step 2: Convert to fraction form
    543,348,291/847,307,415 = 847,307,415/x
  3. Step 3: Cross multiply
    543,348,291x = 847,307,415 × 847,307,415
  4. Step 4: Simplify right side
    543,348,291x = 717,929,855,513,982,208
  5. Step 5: Solve for x
    x = 717,929,855,513,982,208/543,348,291
  6. Step 6: Final answer
    x = 1,321,306,917.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.