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Finding the Third Proportional to 445,964 and 691,026

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Solution

The third proportional to 445,964 and 691,026 is: 1,070,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,964 : 691,026 = 691,026 : x
  2. Step 2: Convert to fraction form
    445,964/691,026 = 691,026/x
  3. Step 3: Cross multiply
    445,964x = 691,026 × 691,026
  4. Step 4: Simplify right side
    445,964x = 477,516,932,676
  5. Step 5: Solve for x
    x = 477,516,932,676/445,964
  6. Step 6: Final answer
    x = 1,070,752.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.