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Finding the Third Proportional to 355,671 and 763,587

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Solution

The third proportional to 355,671 and 763,587 is: 1,639,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,671 : 763,587 = 763,587 : x
  2. Step 2: Convert to fraction form
    355,671/763,587 = 763,587/x
  3. Step 3: Cross multiply
    355,671x = 763,587 × 763,587
  4. Step 4: Simplify right side
    355,671x = 583,065,106,569
  5. Step 5: Solve for x
    x = 583,065,106,569/355,671
  6. Step 6: Final answer
    x = 1,639,338.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.