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Finding the Third Proportional to 380,737.13 and 571,180.50

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Solution

The third proportional to 380,737.13 and 571,180.50 is: 856,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,737.13 : 571,180.50 = 571,180.50 : x
  2. Step 2: Convert to fraction form
    380,737.13/571,180.50 = 571,180.50/x
  3. Step 3: Cross multiply
    380,737.13x = 571,180.50 × 571,180.50
  4. Step 4: Simplify right side
    380,737.13x = 326,247,163,580.25
  5. Step 5: Solve for x
    x = 326,247,163,580.25/380,737.13
  6. Step 6: Final answer
    x = 856,882.98

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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.