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Finding the Third Proportional to 157,840 and 234,360

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Solution

The third proportional to 157,840 and 234,360 is: 347,976.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,840 : 234,360 = 234,360 : x
  2. Step 2: Convert to fraction form
    157,840/234,360 = 234,360/x
  3. Step 3: Cross multiply
    157,840x = 234,360 × 234,360
  4. Step 4: Simplify right side
    157,840x = 54,924,609,600
  5. Step 5: Solve for x
    x = 54,924,609,600/157,840
  6. Step 6: Final answer
    x = 347,976.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.