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Finding the Third Proportional to 148,689 and 307,674

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Solution

The third proportional to 148,689 and 307,674 is: 636,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,689 : 307,674 = 307,674 : x
  2. Step 2: Convert to fraction form
    148,689/307,674 = 307,674/x
  3. Step 3: Cross multiply
    148,689x = 307,674 × 307,674
  4. Step 4: Simplify right side
    148,689x = 94,663,290,276
  5. Step 5: Solve for x
    x = 94,663,290,276/148,689
  6. Step 6: Final answer
    x = 636,652.95

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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.