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Finding the Third Proportional to 641,562 and 896,939

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Solution

The third proportional to 641,562 and 896,939 is: 1,253,970.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,562 : 896,939 = 896,939 : x
  2. Step 2: Convert to fraction form
    641,562/896,939 = 896,939/x
  3. Step 3: Cross multiply
    641,562x = 896,939 × 896,939
  4. Step 4: Simplify right side
    641,562x = 804,499,569,721
  5. Step 5: Solve for x
    x = 804,499,569,721/641,562
  6. Step 6: Final answer
    x = 1,253,970.11

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.