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Finding the Third Proportional to 304,530 and 655,720

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Solution

The third proportional to 304,530 and 655,720 is: 1,411,909.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,530 : 655,720 = 655,720 : x
  2. Step 2: Convert to fraction form
    304,530/655,720 = 655,720/x
  3. Step 3: Cross multiply
    304,530x = 655,720 × 655,720
  4. Step 4: Simplify right side
    304,530x = 429,968,718,400
  5. Step 5: Solve for x
    x = 429,968,718,400/304,530
  6. Step 6: Final answer
    x = 1,411,909.23

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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.