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Finding the Third Proportional to 122,656.50 and 268,641

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Solution

The third proportional to 122,656.50 and 268,641 is: 588,374.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,656.50 : 268,641 = 268,641 : x
  2. Step 2: Convert to fraction form
    122,656.50/268,641 = 268,641/x
  3. Step 3: Cross multiply
    122,656.50x = 268,641 × 268,641
  4. Step 4: Simplify right side
    122,656.50x = 72,167,986,881
  5. Step 5: Solve for x
    x = 72,167,986,881/122,656.50
  6. Step 6: Final answer
    x = 588,374.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.