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Finding the Third Proportional to 118,460 and 279,643

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Solution

The third proportional to 118,460 and 279,643 is: 660,140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,460 : 279,643 = 279,643 : x
  2. Step 2: Convert to fraction form
    118,460/279,643 = 279,643/x
  3. Step 3: Cross multiply
    118,460x = 279,643 × 279,643
  4. Step 4: Simplify right side
    118,460x = 78,200,207,449
  5. Step 5: Solve for x
    x = 78,200,207,449/118,460
  6. Step 6: Final answer
    x = 660,140.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.