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Finding the Third Proportional to 486,442 and 777,080

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Solution

The third proportional to 486,442 and 777,080 is: 1,241,367.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,442 : 777,080 = 777,080 : x
  2. Step 2: Convert to fraction form
    486,442/777,080 = 777,080/x
  3. Step 3: Cross multiply
    486,442x = 777,080 × 777,080
  4. Step 4: Simplify right side
    486,442x = 603,853,326,400
  5. Step 5: Solve for x
    x = 603,853,326,400/486,442
  6. Step 6: Final answer
    x = 1,241,367.58

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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.