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Finding the Third Proportional to 425,047.50 and 647,718.75

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Solution

The third proportional to 425,047.50 and 647,718.75 is: 987,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,047.50 : 647,718.75 = 647,718.75 : x
  2. Step 2: Convert to fraction form
    425,047.50/647,718.75 = 647,718.75/x
  3. Step 3: Cross multiply
    425,047.50x = 647,718.75 × 647,718.75
  4. Step 4: Simplify right side
    425,047.50x = 419,539,579,101.56
  5. Step 5: Solve for x
    x = 419,539,579,101.56/425,047.50
  6. Step 6: Final answer
    x = 987,041.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.