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Finding the Third Proportional to 640.13 and 1,590.19

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Solution

The third proportional to 640.13 and 1,590.19 is: 3,950.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.13 : 1,590.19 = 1,590.19 : x
  2. Step 2: Convert to fraction form
    640.13/1,590.19 = 1,590.19/x
  3. Step 3: Cross multiply
    640.13x = 1,590.19 × 1,590.19
  4. Step 4: Simplify right side
    640.13x = 2,528,696.29
  5. Step 5: Solve for x
    x = 2,528,696.29/640.13
  6. Step 6: Final answer
    x = 3,950.32

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.