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Finding the Third Proportional to 202,740 and 431,712

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Solution

The third proportional to 202,740 and 431,712 is: 919,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,740 : 431,712 = 431,712 : x
  2. Step 2: Convert to fraction form
    202,740/431,712 = 431,712/x
  3. Step 3: Cross multiply
    202,740x = 431,712 × 431,712
  4. Step 4: Simplify right side
    202,740x = 186,375,250,944
  5. Step 5: Solve for x
    x = 186,375,250,944/202,740
  6. Step 6: Final answer
    x = 919,282.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.