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Finding the Third Proportional to 216,664.88 and 287,560.13

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Solution

The third proportional to 216,664.88 and 287,560.13 is: 381,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,664.88 : 287,560.13 = 287,560.13 : x
  2. Step 2: Convert to fraction form
    216,664.88/287,560.13 = 287,560.13/x
  3. Step 3: Cross multiply
    216,664.88x = 287,560.13 × 287,560.13
  4. Step 4: Simplify right side
    216,664.88x = 82,690,825,490.02
  5. Step 5: Solve for x
    x = 82,690,825,490.02/216,664.88
  6. Step 6: Final answer
    x = 381,653.12

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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.