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Finding the Third Proportional to 129,702 and 279,417

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Solution

The third proportional to 129,702 and 279,417 is: 601,948.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,702 : 279,417 = 279,417 : x
  2. Step 2: Convert to fraction form
    129,702/279,417 = 279,417/x
  3. Step 3: Cross multiply
    129,702x = 279,417 × 279,417
  4. Step 4: Simplify right side
    129,702x = 78,073,859,889
  5. Step 5: Solve for x
    x = 78,073,859,889/129,702
  6. Step 6: Final answer
    x = 601,948.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.