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Finding the Third Proportional to 287,217.75 and 402,483

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Solution

The third proportional to 287,217.75 and 402,483 is: 564,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,217.75 : 402,483 = 402,483 : x
  2. Step 2: Convert to fraction form
    287,217.75/402,483 = 402,483/x
  3. Step 3: Cross multiply
    287,217.75x = 402,483 × 402,483
  4. Step 4: Simplify right side
    287,217.75x = 161,992,565,289
  5. Step 5: Solve for x
    x = 161,992,565,289/287,217.75
  6. Step 6: Final answer
    x = 564,006.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.