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Finding the Third Proportional to 282,387.75 and 430,200.75

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Solution

The third proportional to 282,387.75 and 430,200.75 is: 655,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,387.75 : 430,200.75 = 430,200.75 : x
  2. Step 2: Convert to fraction form
    282,387.75/430,200.75 = 430,200.75/x
  3. Step 3: Cross multiply
    282,387.75x = 430,200.75 × 430,200.75
  4. Step 4: Simplify right side
    282,387.75x = 185,072,685,300.56
  5. Step 5: Solve for x
    x = 185,072,685,300.56/282,387.75
  6. Step 6: Final answer
    x = 655,384.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.