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Finding the Third Proportional to 275,749 and 442,417.50

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Solution

The third proportional to 275,749 and 442,417.50 is: 709,823.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,749 : 442,417.50 = 442,417.50 : x
  2. Step 2: Convert to fraction form
    275,749/442,417.50 = 442,417.50/x
  3. Step 3: Cross multiply
    275,749x = 442,417.50 × 442,417.50
  4. Step 4: Simplify right side
    275,749x = 195,733,244,306.25
  5. Step 5: Solve for x
    x = 195,733,244,306.25/275,749
  6. Step 6: Final answer
    x = 709,823.95

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.