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Finding the Third Proportional to 610,729 and 897,847

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Solution

The third proportional to 610,729 and 897,847 is: 1,319,945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,729 : 897,847 = 897,847 : x
  2. Step 2: Convert to fraction form
    610,729/897,847 = 897,847/x
  3. Step 3: Cross multiply
    610,729x = 897,847 × 897,847
  4. Step 4: Simplify right side
    610,729x = 806,129,235,409
  5. Step 5: Solve for x
    x = 806,129,235,409/610,729
  6. Step 6: Final answer
    x = 1,319,945.89

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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.