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Finding the Third Proportional to 563,367 and 872,987

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Solution

The third proportional to 563,367 and 872,987 is: 1,352,770.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,367 : 872,987 = 872,987 : x
  2. Step 2: Convert to fraction form
    563,367/872,987 = 872,987/x
  3. Step 3: Cross multiply
    563,367x = 872,987 × 872,987
  4. Step 4: Simplify right side
    563,367x = 762,106,302,169
  5. Step 5: Solve for x
    x = 762,106,302,169/563,367
  6. Step 6: Final answer
    x = 1,352,770.58

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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.