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Finding the Third Proportional to 486,420 and 777,048

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Solution

The third proportional to 486,420 and 777,048 is: 1,241,321.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,420 : 777,048 = 777,048 : x
  2. Step 2: Convert to fraction form
    486,420/777,048 = 777,048/x
  3. Step 3: Cross multiply
    486,420x = 777,048 × 777,048
  4. Step 4: Simplify right side
    486,420x = 603,803,594,304
  5. Step 5: Solve for x
    x = 603,803,594,304/486,420
  6. Step 6: Final answer
    x = 1,241,321.48

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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.