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Finding the Third Proportional to 302,808.38 and 655,781.06

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Solution

The third proportional to 302,808.38 and 655,781.06 is: 1,420,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,808.38 : 655,781.06 = 655,781.06 : x
  2. Step 2: Convert to fraction form
    302,808.38/655,781.06 = 655,781.06/x
  3. Step 3: Cross multiply
    302,808.38x = 655,781.06 × 655,781.06
  4. Step 4: Simplify right side
    302,808.38x = 430,048,801,933.63
  5. Step 5: Solve for x
    x = 430,048,801,933.63/302,808.38
  6. Step 6: Final answer
    x = 1,420,201.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.