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Finding the Third Proportional to 769,691 and 1,639,028

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Solution

The third proportional to 769,691 and 1,639,028 is: 3,490,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,691 : 1,639,028 = 1,639,028 : x
  2. Step 2: Convert to fraction form
    769,691/1,639,028 = 1,639,028/x
  3. Step 3: Cross multiply
    769,691x = 1,639,028 × 1,639,028
  4. Step 4: Simplify right side
    769,691x = 2,686,412,784,784
  5. Step 5: Solve for x
    x = 2,686,412,784,784/769,691
  6. Step 6: Final answer
    x = 3,490,248.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.