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Finding the Third Proportional to 612,508 and 897,990

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Solution

The third proportional to 612,508 and 897,990 is: 1,316,531.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,508 : 897,990 = 897,990 : x
  2. Step 2: Convert to fraction form
    612,508/897,990 = 897,990/x
  3. Step 3: Cross multiply
    612,508x = 897,990 × 897,990
  4. Step 4: Simplify right side
    612,508x = 806,386,040,100
  5. Step 5: Solve for x
    x = 806,386,040,100/612,508
  6. Step 6: Final answer
    x = 1,316,531.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.