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Finding the Third Proportional to 388,563.75 and 516,466.13

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Solution

The third proportional to 388,563.75 and 516,466.13 is: 686,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,563.75 : 516,466.13 = 516,466.13 : x
  2. Step 2: Convert to fraction form
    388,563.75/516,466.13 = 516,466.13/x
  3. Step 3: Cross multiply
    388,563.75x = 516,466.13 × 516,466.13
  4. Step 4: Simplify right side
    388,563.75x = 266,737,258,272.52
  5. Step 5: Solve for x
    x = 266,737,258,272.52/388,563.75
  6. Step 6: Final answer
    x = 686,469.74

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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.