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Finding the Third Proportional to 452,366.50 and 689,162.50

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Solution

The third proportional to 452,366.50 and 689,162.50 is: 1,049,911.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,366.50 : 689,162.50 = 689,162.50 : x
  2. Step 2: Convert to fraction form
    452,366.50/689,162.50 = 689,162.50/x
  3. Step 3: Cross multiply
    452,366.50x = 689,162.50 × 689,162.50
  4. Step 4: Simplify right side
    452,366.50x = 474,944,951,406.25
  5. Step 5: Solve for x
    x = 474,944,951,406.25/452,366.50
  6. Step 6: Final answer
    x = 1,049,911.86

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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.