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Finding the Third Proportional to 158,428 and 337,400

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Solution

The third proportional to 158,428 and 337,400 is: 718,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,428 : 337,400 = 337,400 : x
  2. Step 2: Convert to fraction form
    158,428/337,400 = 337,400/x
  3. Step 3: Cross multiply
    158,428x = 337,400 × 337,400
  4. Step 4: Simplify right side
    158,428x = 113,838,760,000
  5. Step 5: Solve for x
    x = 113,838,760,000/158,428
  6. Step 6: Final answer
    x = 718,552.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.