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Finding the Third Proportional to 130,528 and 278,125

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Solution

The third proportional to 130,528 and 278,125 is: 592,620.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,528 : 278,125 = 278,125 : x
  2. Step 2: Convert to fraction form
    130,528/278,125 = 278,125/x
  3. Step 3: Cross multiply
    130,528x = 278,125 × 278,125
  4. Step 4: Simplify right side
    130,528x = 77,353,515,625
  5. Step 5: Solve for x
    x = 77,353,515,625/130,528
  6. Step 6: Final answer
    x = 592,620.09

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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.