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Finding the Third Proportional to 216,572 and 521,748

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Solution

The third proportional to 216,572 and 521,748 is: 1,256,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,572 : 521,748 = 521,748 : x
  2. Step 2: Convert to fraction form
    216,572/521,748 = 521,748/x
  3. Step 3: Cross multiply
    216,572x = 521,748 × 521,748
  4. Step 4: Simplify right side
    216,572x = 272,220,975,504
  5. Step 5: Solve for x
    x = 272,220,975,504/216,572
  6. Step 6: Final answer
    x = 1,256,953.69

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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.