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Finding the Third Proportional to 408,980.25 and 647,302.50

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Solution

The third proportional to 408,980.25 and 647,302.50 is: 1,024,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,980.25 : 647,302.50 = 647,302.50 : x
  2. Step 2: Convert to fraction form
    408,980.25/647,302.50 = 647,302.50/x
  3. Step 3: Cross multiply
    408,980.25x = 647,302.50 × 647,302.50
  4. Step 4: Simplify right side
    408,980.25x = 419,000,526,506.25
  5. Step 5: Solve for x
    x = 419,000,526,506.25/408,980.25
  6. Step 6: Final answer
    x = 1,024,500.64

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.