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Finding the Third Proportional to 153,612 and 238,414

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Solution

The third proportional to 153,612 and 238,414 is: 370,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,612 : 238,414 = 238,414 : x
  2. Step 2: Convert to fraction form
    153,612/238,414 = 238,414/x
  3. Step 3: Cross multiply
    153,612x = 238,414 × 238,414
  4. Step 4: Simplify right side
    153,612x = 56,841,235,396
  5. Step 5: Solve for x
    x = 56,841,235,396/153,612
  6. Step 6: Final answer
    x = 370,031.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.