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Finding the Third Proportional to 633,561 and 1,378,657

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Solution

The third proportional to 633,561 and 1,378,657 is: 3,000,019.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,561 : 1,378,657 = 1,378,657 : x
  2. Step 2: Convert to fraction form
    633,561/1,378,657 = 1,378,657/x
  3. Step 3: Cross multiply
    633,561x = 1,378,657 × 1,378,657
  4. Step 4: Simplify right side
    633,561x = 1,900,695,123,649
  5. Step 5: Solve for x
    x = 1,900,695,123,649/633,561
  6. Step 6: Final answer
    x = 3,000,019.14

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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.