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Finding the Third Proportional to 257,191.75 and 382,061.75

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Solution

The third proportional to 257,191.75 and 382,061.75 is: 567,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,191.75 : 382,061.75 = 382,061.75 : x
  2. Step 2: Convert to fraction form
    257,191.75/382,061.75 = 382,061.75/x
  3. Step 3: Cross multiply
    257,191.75x = 382,061.75 × 382,061.75
  4. Step 4: Simplify right side
    257,191.75x = 145,971,180,813.06
  5. Step 5: Solve for x
    x = 145,971,180,813.06/257,191.75
  6. Step 6: Final answer
    x = 567,557.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.