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Finding the Third Proportional to 647,624 and 1,374,169

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Solution

The third proportional to 647,624 and 1,374,169 is: 2,915,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,624 : 1,374,169 = 1,374,169 : x
  2. Step 2: Convert to fraction form
    647,624/1,374,169 = 1,374,169/x
  3. Step 3: Cross multiply
    647,624x = 1,374,169 × 1,374,169
  4. Step 4: Simplify right side
    647,624x = 1,888,340,440,561
  5. Step 5: Solve for x
    x = 1,888,340,440,561/647,624
  6. Step 6: Final answer
    x = 2,915,797.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.