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Finding the Third Proportional to 230,904 and 345,429

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Solution

The third proportional to 230,904 and 345,429 is: 516,756.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,904 : 345,429 = 345,429 : x
  2. Step 2: Convert to fraction form
    230,904/345,429 = 345,429/x
  3. Step 3: Cross multiply
    230,904x = 345,429 × 345,429
  4. Step 4: Simplify right side
    230,904x = 119,321,194,041
  5. Step 5: Solve for x
    x = 119,321,194,041/230,904
  6. Step 6: Final answer
    x = 516,756.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.