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Finding the Third Proportional to 421,530.50 and 632,305.50

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Solution

The third proportional to 421,530.50 and 632,305.50 is: 948,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,530.50 : 632,305.50 = 632,305.50 : x
  2. Step 2: Convert to fraction form
    421,530.50/632,305.50 = 632,305.50/x
  3. Step 3: Cross multiply
    421,530.50x = 632,305.50 × 632,305.50
  4. Step 4: Simplify right side
    421,530.50x = 399,810,245,330.25
  5. Step 5: Solve for x
    x = 399,810,245,330.25/421,530.50
  6. Step 6: Final answer
    x = 948,472.88

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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.