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Finding the Third Proportional to 71,818 and 157,748

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Solution

The third proportional to 71,818 and 157,748 is: 346,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,818 : 157,748 = 157,748 : x
  2. Step 2: Convert to fraction form
    71,818/157,748 = 157,748/x
  3. Step 3: Cross multiply
    71,818x = 157,748 × 157,748
  4. Step 4: Simplify right side
    71,818x = 24,884,431,504
  5. Step 5: Solve for x
    x = 24,884,431,504/71,818
  6. Step 6: Final answer
    x = 346,492.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.