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Finding the Third Proportional to 872,590 and 1,340,780

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Solution

The third proportional to 872,590 and 1,340,780 is: 2,060,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,590 : 1,340,780 = 1,340,780 : x
  2. Step 2: Convert to fraction form
    872,590/1,340,780 = 1,340,780/x
  3. Step 3: Cross multiply
    872,590x = 1,340,780 × 1,340,780
  4. Step 4: Simplify right side
    872,590x = 1,797,691,008,400
  5. Step 5: Solve for x
    x = 1,797,691,008,400/872,590
  6. Step 6: Final answer
    x = 2,060,178.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.