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Finding the Third Proportional to 216,566 and 521,729

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Solution

The third proportional to 216,566 and 521,729 is: 1,256,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,566 : 521,729 = 521,729 : x
  2. Step 2: Convert to fraction form
    216,566/521,729 = 521,729/x
  3. Step 3: Cross multiply
    216,566x = 521,729 × 521,729
  4. Step 4: Simplify right side
    216,566x = 272,201,149,441
  5. Step 5: Solve for x
    x = 272,201,149,441/216,566
  6. Step 6: Final answer
    x = 1,256,896.97

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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.