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Finding the Third Proportional to 275,281.50 and 387,663.75

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Solution

The third proportional to 275,281.50 and 387,663.75 is: 545,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,281.50 : 387,663.75 = 387,663.75 : x
  2. Step 2: Convert to fraction form
    275,281.50/387,663.75 = 387,663.75/x
  3. Step 3: Cross multiply
    275,281.50x = 387,663.75 × 387,663.75
  4. Step 4: Simplify right side
    275,281.50x = 150,283,183,064.06
  5. Step 5: Solve for x
    x = 150,283,183,064.06/275,281.50
  6. Step 6: Final answer
    x = 545,925.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.