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Finding the Third Proportional to 421,540.50 and 642,814.50

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Solution

The third proportional to 421,540.50 and 642,814.50 is: 980,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,540.50 : 642,814.50 = 642,814.50 : x
  2. Step 2: Convert to fraction form
    421,540.50/642,814.50 = 642,814.50/x
  3. Step 3: Cross multiply
    421,540.50x = 642,814.50 × 642,814.50
  4. Step 4: Simplify right side
    421,540.50x = 413,210,481,410.25
  5. Step 5: Solve for x
    x = 413,210,481,410.25/421,540.50
  6. Step 6: Final answer
    x = 980,239.10

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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.