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Finding the Third Proportional to 148,716 and 308,853

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Solution

The third proportional to 148,716 and 308,853 is: 641,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,716 : 308,853 = 308,853 : x
  2. Step 2: Convert to fraction form
    148,716/308,853 = 308,853/x
  3. Step 3: Cross multiply
    148,716x = 308,853 × 308,853
  4. Step 4: Simplify right side
    148,716x = 95,390,175,609
  5. Step 5: Solve for x
    x = 95,390,175,609/148,716
  6. Step 6: Final answer
    x = 641,425.10

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.