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Finding the Third Proportional to 130,400.82 and 278,026.17

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Solution

The third proportional to 130,400.82 and 278,026.17 is: 592,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,400.82 : 278,026.17 = 278,026.17 : x
  2. Step 2: Convert to fraction form
    130,400.82/278,026.17 = 278,026.17/x
  3. Step 3: Cross multiply
    130,400.82x = 278,026.17 × 278,026.17
  4. Step 4: Simplify right side
    130,400.82x = 77,298,552,247.47
  5. Step 5: Solve for x
    x = 77,298,552,247.47/130,400.82
  6. Step 6: Final answer
    x = 592,776.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.