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Finding the Third Proportional to 130,530 and 278,129

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Solution

The third proportional to 130,530 and 278,129 is: 592,628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,530 : 278,129 = 278,129 : x
  2. Step 2: Convert to fraction form
    130,530/278,129 = 278,129/x
  3. Step 3: Cross multiply
    130,530x = 278,129 × 278,129
  4. Step 4: Simplify right side
    130,530x = 77,355,740,641
  5. Step 5: Solve for x
    x = 77,355,740,641/130,530
  6. Step 6: Final answer
    x = 592,628.06

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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.