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Finding the Third Proportional to 71,460 and 152,421

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Solution

The third proportional to 71,460 and 152,421 is: 325,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,460 : 152,421 = 152,421 : x
  2. Step 2: Convert to fraction form
    71,460/152,421 = 152,421/x
  3. Step 3: Cross multiply
    71,460x = 152,421 × 152,421
  4. Step 4: Simplify right side
    71,460x = 23,232,161,241
  5. Step 5: Solve for x
    x = 23,232,161,241/71,460
  6. Step 6: Final answer
    x = 325,107.21

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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.