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Finding the Third Proportional to 306,522 and 655,112

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Solution

The third proportional to 306,522 and 655,112 is: 1,400,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,522 : 655,112 = 655,112 : x
  2. Step 2: Convert to fraction form
    306,522/655,112 = 655,112/x
  3. Step 3: Cross multiply
    306,522x = 655,112 × 655,112
  4. Step 4: Simplify right side
    306,522x = 429,171,732,544
  5. Step 5: Solve for x
    x = 429,171,732,544/306,522
  6. Step 6: Final answer
    x = 1,400,133.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.