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Finding the Third Proportional to 611,079 and 897,889

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Solution

The third proportional to 611,079 and 897,889 is: 1,319,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,079 : 897,889 = 897,889 : x
  2. Step 2: Convert to fraction form
    611,079/897,889 = 897,889/x
  3. Step 3: Cross multiply
    611,079x = 897,889 × 897,889
  4. Step 4: Simplify right side
    611,079x = 806,204,656,321
  5. Step 5: Solve for x
    x = 806,204,656,321/611,079
  6. Step 6: Final answer
    x = 1,319,313.31

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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.