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Finding the Third Proportional to 691,660 and 1,058,478

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Solution

The third proportional to 691,660 and 1,058,478 is: 1,619,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,660 : 1,058,478 = 1,058,478 : x
  2. Step 2: Convert to fraction form
    691,660/1,058,478 = 1,058,478/x
  3. Step 3: Cross multiply
    691,660x = 1,058,478 × 1,058,478
  4. Step 4: Simplify right side
    691,660x = 1,120,375,676,484
  5. Step 5: Solve for x
    x = 1,120,375,676,484/691,660
  6. Step 6: Final answer
    x = 1,619,835.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.