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Finding the Third Proportional to 642,505.50 and 963,879.75

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Solution

The third proportional to 642,505.50 and 963,879.75 is: 1,446,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,505.50 : 963,879.75 = 963,879.75 : x
  2. Step 2: Convert to fraction form
    642,505.50/963,879.75 = 963,879.75/x
  3. Step 3: Cross multiply
    642,505.50x = 963,879.75 × 963,879.75
  4. Step 4: Simplify right side
    642,505.50x = 929,064,172,460.06
  5. Step 5: Solve for x
    x = 929,064,172,460.06/642,505.50
  6. Step 6: Final answer
    x = 1,446,001.90

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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.