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Finding the Third Proportional to 864,310 and 1,867,103

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Solution

The third proportional to 864,310 and 1,867,103 is: 4,033,360.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,310 : 1,867,103 = 1,867,103 : x
  2. Step 2: Convert to fraction form
    864,310/1,867,103 = 1,867,103/x
  3. Step 3: Cross multiply
    864,310x = 1,867,103 × 1,867,103
  4. Step 4: Simplify right side
    864,310x = 3,486,073,612,609
  5. Step 5: Solve for x
    x = 3,486,073,612,609/864,310
  6. Step 6: Final answer
    x = 4,033,360.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.