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Finding the Third Proportional to 425,768 and 674,940

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Solution

The third proportional to 425,768 and 674,940 is: 1,069,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,768 : 674,940 = 674,940 : x
  2. Step 2: Convert to fraction form
    425,768/674,940 = 674,940/x
  3. Step 3: Cross multiply
    425,768x = 674,940 × 674,940
  4. Step 4: Simplify right side
    425,768x = 455,544,003,600
  5. Step 5: Solve for x
    x = 455,544,003,600/425,768
  6. Step 6: Final answer
    x = 1,069,934.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.