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Finding the Third Proportional to 129,225.38 and 189,337.50

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Solution

The third proportional to 129,225.38 and 189,337.50 is: 277,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,225.38 : 189,337.50 = 189,337.50 : x
  2. Step 2: Convert to fraction form
    129,225.38/189,337.50 = 189,337.50/x
  3. Step 3: Cross multiply
    129,225.38x = 189,337.50 × 189,337.50
  4. Step 4: Simplify right side
    129,225.38x = 35,848,688,906.25
  5. Step 5: Solve for x
    x = 35,848,688,906.25/129,225.38
  6. Step 6: Final answer
    x = 277,412.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.