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Finding the Third Proportional to 425,754.50 and 709,560.75

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Solution

The third proportional to 425,754.50 and 709,560.75 is: 1,182,551.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,754.50 : 709,560.75 = 709,560.75 : x
  2. Step 2: Convert to fraction form
    425,754.50/709,560.75 = 709,560.75/x
  3. Step 3: Cross multiply
    425,754.50x = 709,560.75 × 709,560.75
  4. Step 4: Simplify right side
    425,754.50x = 503,476,457,940.56
  5. Step 5: Solve for x
    x = 503,476,457,940.56/425,754.50
  6. Step 6: Final answer
    x = 1,182,551.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.