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Finding the Third Proportional to 142,431 and 221,417

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Solution

The third proportional to 142,431 and 221,417 is: 344,205.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,431 : 221,417 = 221,417 : x
  2. Step 2: Convert to fraction form
    142,431/221,417 = 221,417/x
  3. Step 3: Cross multiply
    142,431x = 221,417 × 221,417
  4. Step 4: Simplify right side
    142,431x = 49,025,487,889
  5. Step 5: Solve for x
    x = 49,025,487,889/142,431
  6. Step 6: Final answer
    x = 344,205.18

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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.