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Finding the Third Proportional to 274,293 and 411,439.50

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Solution

The third proportional to 274,293 and 411,439.50 is: 617,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,293 : 411,439.50 = 411,439.50 : x
  2. Step 2: Convert to fraction form
    274,293/411,439.50 = 411,439.50/x
  3. Step 3: Cross multiply
    274,293x = 411,439.50 × 411,439.50
  4. Step 4: Simplify right side
    274,293x = 169,282,462,160.25
  5. Step 5: Solve for x
    x = 169,282,462,160.25/274,293
  6. Step 6: Final answer
    x = 617,159.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.