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Finding the Third Proportional to 157,658 and 342,532

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Solution

The third proportional to 157,658 and 342,532 is: 744,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,658 : 342,532 = 342,532 : x
  2. Step 2: Convert to fraction form
    157,658/342,532 = 342,532/x
  3. Step 3: Cross multiply
    157,658x = 342,532 × 342,532
  4. Step 4: Simplify right side
    157,658x = 117,328,171,024
  5. Step 5: Solve for x
    x = 117,328,171,024/157,658
  6. Step 6: Final answer
    x = 744,194.21

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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.