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Finding the Third Proportional to 287,724.66 and 431,590.78

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Solution

The third proportional to 287,724.66 and 431,590.78 is: 647,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,724.66 : 431,590.78 = 431,590.78 : x
  2. Step 2: Convert to fraction form
    287,724.66/431,590.78 = 431,590.78/x
  3. Step 3: Cross multiply
    287,724.66x = 431,590.78 × 431,590.78
  4. Step 4: Simplify right side
    287,724.66x = 186,270,602,459.99
  5. Step 5: Solve for x
    x = 186,270,602,459.99/287,724.66
  6. Step 6: Final answer
    x = 647,391.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.