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Finding the Third Proportional to 411,601.50 and 641,479.50

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Solution

The third proportional to 411,601.50 and 641,479.50 is: 999,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,601.50 : 641,479.50 = 641,479.50 : x
  2. Step 2: Convert to fraction form
    411,601.50/641,479.50 = 641,479.50/x
  3. Step 3: Cross multiply
    411,601.50x = 641,479.50 × 641,479.50
  4. Step 4: Simplify right side
    411,601.50x = 411,495,948,920.25
  5. Step 5: Solve for x
    x = 411,495,948,920.25/411,601.50
  6. Step 6: Final answer
    x = 999,743.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.