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Finding the Third Proportional to 216,855 and 521,781

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Solution

The third proportional to 216,855 and 521,781 is: 1,255,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,855 : 521,781 = 521,781 : x
  2. Step 2: Convert to fraction form
    216,855/521,781 = 521,781/x
  3. Step 3: Cross multiply
    216,855x = 521,781 × 521,781
  4. Step 4: Simplify right side
    216,855x = 272,255,411,961
  5. Step 5: Solve for x
    x = 272,255,411,961/216,855
  6. Step 6: Final answer
    x = 1,255,472.14

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.