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Finding the Third Proportional to 157,809 and 344,535

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Solution

The third proportional to 157,809 and 344,535 is: 752,202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,809 : 344,535 = 344,535 : x
  2. Step 2: Convert to fraction form
    157,809/344,535 = 344,535/x
  3. Step 3: Cross multiply
    157,809x = 344,535 × 344,535
  4. Step 4: Simplify right side
    157,809x = 118,704,366,225
  5. Step 5: Solve for x
    x = 118,704,366,225/157,809
  6. Step 6: Final answer
    x = 752,202.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.