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Finding the Third Proportional to 128,785 and 189,319

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Solution

The third proportional to 128,785 and 189,319 is: 278,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,785 : 189,319 = 189,319 : x
  2. Step 2: Convert to fraction form
    128,785/189,319 = 189,319/x
  3. Step 3: Cross multiply
    128,785x = 189,319 × 189,319
  4. Step 4: Simplify right side
    128,785x = 35,841,683,761
  5. Step 5: Solve for x
    x = 35,841,683,761/128,785
  6. Step 6: Final answer
    x = 278,306.35

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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.