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Finding the Third Proportional to 387,686.25 and 566,491.50

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Solution

The third proportional to 387,686.25 and 566,491.50 is: 827,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,686.25 : 566,491.50 = 566,491.50 : x
  2. Step 2: Convert to fraction form
    387,686.25/566,491.50 = 566,491.50/x
  3. Step 3: Cross multiply
    387,686.25x = 566,491.50 × 566,491.50
  4. Step 4: Simplify right side
    387,686.25x = 320,912,619,572.25
  5. Step 5: Solve for x
    x = 320,912,619,572.25/387,686.25
  6. Step 6: Final answer
    x = 827,763.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.