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Finding the Third Proportional to 621,948 and 1,299,132

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Solution

The third proportional to 621,948 and 1,299,132 is: 2,713,641.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,948 : 1,299,132 = 1,299,132 : x
  2. Step 2: Convert to fraction form
    621,948/1,299,132 = 1,299,132/x
  3. Step 3: Cross multiply
    621,948x = 1,299,132 × 1,299,132
  4. Step 4: Simplify right side
    621,948x = 1,687,743,953,424
  5. Step 5: Solve for x
    x = 1,687,743,953,424/621,948
  6. Step 6: Final answer
    x = 2,713,641.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.