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Finding the Third Proportional to 128,800.13 and 189,469.13

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Solution

The third proportional to 128,800.13 and 189,469.13 is: 278,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,800.13 : 189,469.13 = 189,469.13 : x
  2. Step 2: Convert to fraction form
    128,800.13/189,469.13 = 189,469.13/x
  3. Step 3: Cross multiply
    128,800.13x = 189,469.13 × 189,469.13
  4. Step 4: Simplify right side
    128,800.13x = 35,898,549,328.27
  5. Step 5: Solve for x
    x = 35,898,549,328.27/128,800.13
  6. Step 6: Final answer
    x = 278,715.17

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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.