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Finding the Third Proportional to 157,749 and 342,113

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Solution

The third proportional to 157,749 and 342,113 is: 741,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,749 : 342,113 = 342,113 : x
  2. Step 2: Convert to fraction form
    157,749/342,113 = 342,113/x
  3. Step 3: Cross multiply
    157,749x = 342,113 × 342,113
  4. Step 4: Simplify right side
    157,749x = 117,041,304,769
  5. Step 5: Solve for x
    x = 117,041,304,769/157,749
  6. Step 6: Final answer
    x = 741,946.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.