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Finding the Third Proportional to 235,399 and 348,520

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Solution

The third proportional to 235,399 and 348,520 is: 516,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,399 : 348,520 = 348,520 : x
  2. Step 2: Convert to fraction form
    235,399/348,520 = 348,520/x
  3. Step 3: Cross multiply
    235,399x = 348,520 × 348,520
  4. Step 4: Simplify right side
    235,399x = 121,466,190,400
  5. Step 5: Solve for x
    x = 121,466,190,400/235,399
  6. Step 6: Final answer
    x = 516,001.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.