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Finding the Third Proportional to 235,409 and 348,535

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Solution

The third proportional to 235,409 and 348,535 is: 516,023.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,409 : 348,535 = 348,535 : x
  2. Step 2: Convert to fraction form
    235,409/348,535 = 348,535/x
  3. Step 3: Cross multiply
    235,409x = 348,535 × 348,535
  4. Step 4: Simplify right side
    235,409x = 121,476,646,225
  5. Step 5: Solve for x
    x = 121,476,646,225/235,409
  6. Step 6: Final answer
    x = 516,023.80

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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.