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Finding the Third Proportional to 216,702 and 287,613

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Solution

The third proportional to 216,702 and 287,613 is: 381,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,702 : 287,613 = 287,613 : x
  2. Step 2: Convert to fraction form
    216,702/287,613 = 287,613/x
  3. Step 3: Cross multiply
    216,702x = 287,613 × 287,613
  4. Step 4: Simplify right side
    216,702x = 82,721,237,769
  5. Step 5: Solve for x
    x = 82,721,237,769/216,702
  6. Step 6: Final answer
    x = 381,728.08

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.