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Finding the Third Proportional to 230,979.75 and 345,528

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Solution

The third proportional to 230,979.75 and 345,528 is: 516,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,979.75 : 345,528 = 345,528 : x
  2. Step 2: Convert to fraction form
    230,979.75/345,528 = 345,528/x
  3. Step 3: Cross multiply
    230,979.75x = 345,528 × 345,528
  4. Step 4: Simplify right side
    230,979.75x = 119,389,598,784
  5. Step 5: Solve for x
    x = 119,389,598,784/230,979.75
  6. Step 6: Final answer
    x = 516,883.40

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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.