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Finding the Third Proportional to 287,329.50 and 454,747.50

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Solution

The third proportional to 287,329.50 and 454,747.50 is: 719,714.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,329.50 : 454,747.50 = 454,747.50 : x
  2. Step 2: Convert to fraction form
    287,329.50/454,747.50 = 454,747.50/x
  3. Step 3: Cross multiply
    287,329.50x = 454,747.50 × 454,747.50
  4. Step 4: Simplify right side
    287,329.50x = 206,795,288,756.25
  5. Step 5: Solve for x
    x = 206,795,288,756.25/287,329.50
  6. Step 6: Final answer
    x = 719,714.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.