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Finding the Third Proportional to 130,972 and 279,117

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Solution

The third proportional to 130,972 and 279,117 is: 594,831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,972 : 279,117 = 279,117 : x
  2. Step 2: Convert to fraction form
    130,972/279,117 = 279,117/x
  3. Step 3: Cross multiply
    130,972x = 279,117 × 279,117
  4. Step 4: Simplify right side
    130,972x = 77,906,299,689
  5. Step 5: Solve for x
    x = 77,906,299,689/130,972
  6. Step 6: Final answer
    x = 594,831.72

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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.