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Finding the Third Proportional to 301,509 and 655,422

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Solution

The third proportional to 301,509 and 655,422 is: 1,424,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,509 : 655,422 = 655,422 : x
  2. Step 2: Convert to fraction form
    301,509/655,422 = 655,422/x
  3. Step 3: Cross multiply
    301,509x = 655,422 × 655,422
  4. Step 4: Simplify right side
    301,509x = 429,577,998,084
  5. Step 5: Solve for x
    x = 429,577,998,084/301,509
  6. Step 6: Final answer
    x = 1,424,760.12

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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.