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Finding the Third Proportional to 438,618.75 and 661,168.13

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Solution

The third proportional to 438,618.75 and 661,168.13 is: 996,636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,618.75 : 661,168.13 = 661,168.13 : x
  2. Step 2: Convert to fraction form
    438,618.75/661,168.13 = 661,168.13/x
  3. Step 3: Cross multiply
    438,618.75x = 661,168.13 × 661,168.13
  4. Step 4: Simplify right side
    438,618.75x = 437,143,289,516.02
  5. Step 5: Solve for x
    x = 437,143,289,516.02/438,618.75
  6. Step 6: Final answer
    x = 996,636.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.