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Finding the Third Proportional to 148,306 and 306,422

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Solution

The third proportional to 148,306 and 306,422 is: 633,112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,306 : 306,422 = 306,422 : x
  2. Step 2: Convert to fraction form
    148,306/306,422 = 306,422/x
  3. Step 3: Cross multiply
    148,306x = 306,422 × 306,422
  4. Step 4: Simplify right side
    148,306x = 93,894,442,084
  5. Step 5: Solve for x
    x = 93,894,442,084/148,306
  6. Step 6: Final answer
    x = 633,112.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.