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Finding the Third Proportional to 621,478 and 1,353,669

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Solution

The third proportional to 621,478 and 1,353,669 is: 2,948,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,478 : 1,353,669 = 1,353,669 : x
  2. Step 2: Convert to fraction form
    621,478/1,353,669 = 1,353,669/x
  3. Step 3: Cross multiply
    621,478x = 1,353,669 × 1,353,669
  4. Step 4: Simplify right side
    621,478x = 1,832,419,761,561
  5. Step 5: Solve for x
    x = 1,832,419,761,561/621,478
  6. Step 6: Final answer
    x = 2,948,486.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.