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Finding the Third Proportional to 671,716 and 1,382,840

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Solution

The third proportional to 671,716 and 1,382,840 is: 2,846,807.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,716 : 1,382,840 = 1,382,840 : x
  2. Step 2: Convert to fraction form
    671,716/1,382,840 = 1,382,840/x
  3. Step 3: Cross multiply
    671,716x = 1,382,840 × 1,382,840
  4. Step 4: Simplify right side
    671,716x = 1,912,246,465,600
  5. Step 5: Solve for x
    x = 1,912,246,465,600/671,716
  6. Step 6: Final answer
    x = 2,846,807.97

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.