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Finding the Third Proportional to 157,566 and 345,747

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Solution

The third proportional to 157,566 and 345,747 is: 758,672.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,566 : 345,747 = 345,747 : x
  2. Step 2: Convert to fraction form
    157,566/345,747 = 345,747/x
  3. Step 3: Cross multiply
    157,566x = 345,747 × 345,747
  4. Step 4: Simplify right side
    157,566x = 119,540,988,009
  5. Step 5: Solve for x
    x = 119,540,988,009/157,566
  6. Step 6: Final answer
    x = 758,672.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.