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Finding the Third Proportional to 445,537 and 731,415

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Solution

The third proportional to 445,537 and 731,415 is: 1,200,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,537 : 731,415 = 731,415 : x
  2. Step 2: Convert to fraction form
    445,537/731,415 = 731,415/x
  3. Step 3: Cross multiply
    445,537x = 731,415 × 731,415
  4. Step 4: Simplify right side
    445,537x = 534,967,902,225
  5. Step 5: Solve for x
    x = 534,967,902,225/445,537
  6. Step 6: Final answer
    x = 1,200,726.10

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.