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Finding the Third Proportional to 421,502.50 and 642,745.50

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Solution

The third proportional to 421,502.50 and 642,745.50 is: 980,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,502.50 : 642,745.50 = 642,745.50 : x
  2. Step 2: Convert to fraction form
    421,502.50/642,745.50 = 642,745.50/x
  3. Step 3: Cross multiply
    421,502.50x = 642,745.50 × 642,745.50
  4. Step 4: Simplify right side
    421,502.50x = 413,121,777,770.25
  5. Step 5: Solve for x
    x = 413,121,777,770.25/421,502.50
  6. Step 6: Final answer
    x = 980,117.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.