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Finding the Third Proportional to 420,764 and 912,864

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Solution

The third proportional to 420,764 and 912,864 is: 1,980,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,764 : 912,864 = 912,864 : x
  2. Step 2: Convert to fraction form
    420,764/912,864 = 912,864/x
  3. Step 3: Cross multiply
    420,764x = 912,864 × 912,864
  4. Step 4: Simplify right side
    420,764x = 833,320,682,496
  5. Step 5: Solve for x
    x = 833,320,682,496/420,764
  6. Step 6: Final answer
    x = 1,980,494.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.