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Finding the Third Proportional to 71,428 and 146,132

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Solution

The third proportional to 71,428 and 146,132 is: 298,966.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,428 : 146,132 = 146,132 : x
  2. Step 2: Convert to fraction form
    71,428/146,132 = 146,132/x
  3. Step 3: Cross multiply
    71,428x = 146,132 × 146,132
  4. Step 4: Simplify right side
    71,428x = 21,354,561,424
  5. Step 5: Solve for x
    x = 21,354,561,424/71,428
  6. Step 6: Final answer
    x = 298,966.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.