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Finding the Third Proportional to 118,459 and 279,641

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Solution

The third proportional to 118,459 and 279,641 is: 660,136.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,459 : 279,641 = 279,641 : x
  2. Step 2: Convert to fraction form
    118,459/279,641 = 279,641/x
  3. Step 3: Cross multiply
    118,459x = 279,641 × 279,641
  4. Step 4: Simplify right side
    118,459x = 78,199,088,881
  5. Step 5: Solve for x
    x = 78,199,088,881/118,459
  6. Step 6: Final answer
    x = 660,136.32

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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.