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Finding the Third Proportional to 360,689 and 562,868

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Solution

The third proportional to 360,689 and 562,868 is: 878,375.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,689 : 562,868 = 562,868 : x
  2. Step 2: Convert to fraction form
    360,689/562,868 = 562,868/x
  3. Step 3: Cross multiply
    360,689x = 562,868 × 562,868
  4. Step 4: Simplify right side
    360,689x = 316,820,385,424
  5. Step 5: Solve for x
    x = 316,820,385,424/360,689
  6. Step 6: Final answer
    x = 878,375.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.