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Finding the Third Proportional to 486,432 and 777,074

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Solution

The third proportional to 486,432 and 777,074 is: 1,241,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,432 : 777,074 = 777,074 : x
  2. Step 2: Convert to fraction form
    486,432/777,074 = 777,074/x
  3. Step 3: Cross multiply
    486,432x = 777,074 × 777,074
  4. Step 4: Simplify right side
    486,432x = 603,844,001,476
  5. Step 5: Solve for x
    x = 603,844,001,476/486,432
  6. Step 6: Final answer
    x = 1,241,373.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.