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Finding the Third Proportional to 157,298 and 339,620

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Solution

The third proportional to 157,298 and 339,620 is: 733,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,298 : 339,620 = 339,620 : x
  2. Step 2: Convert to fraction form
    157,298/339,620 = 339,620/x
  3. Step 3: Cross multiply
    157,298x = 339,620 × 339,620
  4. Step 4: Simplify right side
    157,298x = 115,341,744,400
  5. Step 5: Solve for x
    x = 115,341,744,400/157,298
  6. Step 6: Final answer
    x = 733,268.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.