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Finding the Third Proportional to 486,565 and 774,816

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Solution

The third proportional to 486,565 and 774,816 is: 1,233,832.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,565 : 774,816 = 774,816 : x
  2. Step 2: Convert to fraction form
    486,565/774,816 = 774,816/x
  3. Step 3: Cross multiply
    486,565x = 774,816 × 774,816
  4. Step 4: Simplify right side
    486,565x = 600,339,833,856
  5. Step 5: Solve for x
    x = 600,339,833,856/486,565
  6. Step 6: Final answer
    x = 1,233,832.75

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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.