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Finding the Third Proportional to 621,029 and 1,330,591

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Solution

The third proportional to 621,029 and 1,330,591 is: 2,850,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,029 : 1,330,591 = 1,330,591 : x
  2. Step 2: Convert to fraction form
    621,029/1,330,591 = 1,330,591/x
  3. Step 3: Cross multiply
    621,029x = 1,330,591 × 1,330,591
  4. Step 4: Simplify right side
    621,029x = 1,770,472,409,281
  5. Step 5: Solve for x
    x = 1,770,472,409,281/621,029
  6. Step 6: Final answer
    x = 2,850,869.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.