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Finding the Third Proportional to 158,129 and 345,442

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Solution

The third proportional to 158,129 and 345,442 is: 754,638.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,129 : 345,442 = 345,442 : x
  2. Step 2: Convert to fraction form
    158,129/345,442 = 345,442/x
  3. Step 3: Cross multiply
    158,129x = 345,442 × 345,442
  4. Step 4: Simplify right side
    158,129x = 119,330,175,364
  5. Step 5: Solve for x
    x = 119,330,175,364/158,129
  6. Step 6: Final answer
    x = 754,638.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.