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Finding the Third Proportional to 611,080 and 897,890

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Solution

The third proportional to 611,080 and 897,890 is: 1,319,314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,080 : 897,890 = 897,890 : x
  2. Step 2: Convert to fraction form
    611,080/897,890 = 897,890/x
  3. Step 3: Cross multiply
    611,080x = 897,890 × 897,890
  4. Step 4: Simplify right side
    611,080x = 806,206,452,100
  5. Step 5: Solve for x
    x = 806,206,452,100/611,080
  6. Step 6: Final answer
    x = 1,319,314.09

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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.