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Finding the Third Proportional to 130,493 and 278,077

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Solution

The third proportional to 130,493 and 278,077 is: 592,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,493 : 278,077 = 278,077 : x
  2. Step 2: Convert to fraction form
    130,493/278,077 = 278,077/x
  3. Step 3: Cross multiply
    130,493x = 278,077 × 278,077
  4. Step 4: Simplify right side
    130,493x = 77,326,817,929
  5. Step 5: Solve for x
    x = 77,326,817,929/130,493
  6. Step 6: Final answer
    x = 592,574.45

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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.