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Finding the Third Proportional to 203,216 and 431,008

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Solution

The third proportional to 203,216 and 431,008 is: 914,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,216 : 431,008 = 431,008 : x
  2. Step 2: Convert to fraction form
    203,216/431,008 = 431,008/x
  3. Step 3: Cross multiply
    203,216x = 431,008 × 431,008
  4. Step 4: Simplify right side
    203,216x = 185,767,896,064
  5. Step 5: Solve for x
    x = 185,767,896,064/203,216
  6. Step 6: Final answer
    x = 914,140.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.