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Finding the Third Proportional to 128,078.50 and 278,306

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Solution

The third proportional to 128,078.50 and 278,306 is: 604,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,078.50 : 278,306 = 278,306 : x
  2. Step 2: Convert to fraction form
    128,078.50/278,306 = 278,306/x
  3. Step 3: Cross multiply
    128,078.50x = 278,306 × 278,306
  4. Step 4: Simplify right side
    128,078.50x = 77,454,229,636
  5. Step 5: Solve for x
    x = 77,454,229,636/128,078.50
  6. Step 6: Final answer
    x = 604,740.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.