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Finding the Third Proportional to 68,282 and 149,070

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Solution

The third proportional to 68,282 and 149,070 is: 325,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,282 : 149,070 = 149,070 : x
  2. Step 2: Convert to fraction form
    68,282/149,070 = 149,070/x
  3. Step 3: Cross multiply
    68,282x = 149,070 × 149,070
  4. Step 4: Simplify right side
    68,282x = 22,221,864,900
  5. Step 5: Solve for x
    x = 22,221,864,900/68,282
  6. Step 6: Final answer
    x = 325,442.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.