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Finding the Third Proportional to 200,440 and 431,888

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Solution

The third proportional to 200,440 and 431,888 is: 930,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,440 : 431,888 = 431,888 : x
  2. Step 2: Convert to fraction form
    200,440/431,888 = 431,888/x
  3. Step 3: Cross multiply
    200,440x = 431,888 × 431,888
  4. Step 4: Simplify right side
    200,440x = 186,527,244,544
  5. Step 5: Solve for x
    x = 186,527,244,544/200,440
  6. Step 6: Final answer
    x = 930,588.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.