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Finding the Third Proportional to 332,365 and 498,422.50

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Solution

The third proportional to 332,365 and 498,422.50 is: 747,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,365 : 498,422.50 = 498,422.50 : x
  2. Step 2: Convert to fraction form
    332,365/498,422.50 = 498,422.50/x
  3. Step 3: Cross multiply
    332,365x = 498,422.50 × 498,422.50
  4. Step 4: Simplify right side
    332,365x = 248,424,988,506.25
  5. Step 5: Solve for x
    x = 248,424,988,506.25/332,365
  6. Step 6: Final answer
    x = 747,446.30

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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.