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Finding the Third Proportional to 425,234.81 and 657,945.28

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Solution

The third proportional to 425,234.81 and 657,945.28 is: 1,018,006.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,234.81 : 657,945.28 = 657,945.28 : x
  2. Step 2: Convert to fraction form
    425,234.81/657,945.28 = 657,945.28/x
  3. Step 3: Cross multiply
    425,234.81x = 657,945.28 × 657,945.28
  4. Step 4: Simplify right side
    425,234.81x = 432,891,993,119.14
  5. Step 5: Solve for x
    x = 432,891,993,119.14/425,234.81
  6. Step 6: Final answer
    x = 1,018,006.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.