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Finding the Third Proportional to 633,560 and 1,378,655

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Solution

The third proportional to 633,560 and 1,378,655 is: 3,000,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,560 : 1,378,655 = 1,378,655 : x
  2. Step 2: Convert to fraction form
    633,560/1,378,655 = 1,378,655/x
  3. Step 3: Cross multiply
    633,560x = 1,378,655 × 1,378,655
  4. Step 4: Simplify right side
    633,560x = 1,900,689,609,025
  5. Step 5: Solve for x
    x = 1,900,689,609,025/633,560
  6. Step 6: Final answer
    x = 3,000,015.17

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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.