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Finding the Third Proportional to 771,360 and 1,687,296

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Solution

The third proportional to 771,360 and 1,687,296 is: 3,690,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,360 : 1,687,296 = 1,687,296 : x
  2. Step 2: Convert to fraction form
    771,360/1,687,296 = 1,687,296/x
  3. Step 3: Cross multiply
    771,360x = 1,687,296 × 1,687,296
  4. Step 4: Simplify right side
    771,360x = 2,846,967,791,616
  5. Step 5: Solve for x
    x = 2,846,967,791,616/771,360
  6. Step 6: Final answer
    x = 3,690,841.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.