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Finding the Third Proportional to 130,220 and 278,871

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Solution

The third proportional to 130,220 and 278,871 is: 597,212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,220 : 278,871 = 278,871 : x
  2. Step 2: Convert to fraction form
    130,220/278,871 = 278,871/x
  3. Step 3: Cross multiply
    130,220x = 278,871 × 278,871
  4. Step 4: Simplify right side
    130,220x = 77,769,034,641
  5. Step 5: Solve for x
    x = 77,769,034,641/130,220
  6. Step 6: Final answer
    x = 597,212.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.