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Finding the Third Proportional to 69,470 and 149,750

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Solution

The third proportional to 69,470 and 149,750 is: 322,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,470 : 149,750 = 149,750 : x
  2. Step 2: Convert to fraction form
    69,470/149,750 = 149,750/x
  3. Step 3: Cross multiply
    69,470x = 149,750 × 149,750
  4. Step 4: Simplify right side
    69,470x = 22,425,062,500
  5. Step 5: Solve for x
    x = 22,425,062,500/69,470
  6. Step 6: Final answer
    x = 322,802.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.