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Finding the Third Proportional to 130,518 and 278,107

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Solution

The third proportional to 130,518 and 278,107 is: 592,588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,518 : 278,107 = 278,107 : x
  2. Step 2: Convert to fraction form
    130,518/278,107 = 278,107/x
  3. Step 3: Cross multiply
    130,518x = 278,107 × 278,107
  4. Step 4: Simplify right side
    130,518x = 77,343,503,449
  5. Step 5: Solve for x
    x = 77,343,503,449/130,518
  6. Step 6: Final answer
    x = 592,588.79

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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.