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Finding the Third Proportional to 771,238 and 1,660,872

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Solution

The third proportional to 771,238 and 1,660,872 is: 3,576,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,238 : 1,660,872 = 1,660,872 : x
  2. Step 2: Convert to fraction form
    771,238/1,660,872 = 1,660,872/x
  3. Step 3: Cross multiply
    771,238x = 1,660,872 × 1,660,872
  4. Step 4: Simplify right side
    771,238x = 2,758,495,800,384
  5. Step 5: Solve for x
    x = 2,758,495,800,384/771,238
  6. Step 6: Final answer
    x = 3,576,711.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.