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Finding the Third Proportional to 580,311 and 887,643

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Solution

The third proportional to 580,311 and 887,643 is: 1,357,737.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,311 : 887,643 = 887,643 : x
  2. Step 2: Convert to fraction form
    580,311/887,643 = 887,643/x
  3. Step 3: Cross multiply
    580,311x = 887,643 × 887,643
  4. Step 4: Simplify right side
    580,311x = 787,910,095,449
  5. Step 5: Solve for x
    x = 787,910,095,449/580,311
  6. Step 6: Final answer
    x = 1,357,737.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.