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Finding the Third Proportional to 130,959 and 279,090

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Solution

The third proportional to 130,959 and 279,090 is: 594,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,959 : 279,090 = 279,090 : x
  2. Step 2: Convert to fraction form
    130,959/279,090 = 279,090/x
  3. Step 3: Cross multiply
    130,959x = 279,090 × 279,090
  4. Step 4: Simplify right side
    130,959x = 77,891,228,100
  5. Step 5: Solve for x
    x = 77,891,228,100/130,959
  6. Step 6: Final answer
    x = 594,775.68

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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.