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Finding the Third Proportional to 451,685.25 and 665,041.50

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Solution

The third proportional to 451,685.25 and 665,041.50 is: 979,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,685.25 : 665,041.50 = 665,041.50 : x
  2. Step 2: Convert to fraction form
    451,685.25/665,041.50 = 665,041.50/x
  3. Step 3: Cross multiply
    451,685.25x = 665,041.50 × 665,041.50
  4. Step 4: Simplify right side
    451,685.25x = 442,280,196,722.25
  5. Step 5: Solve for x
    x = 442,280,196,722.25/451,685.25
  6. Step 6: Final answer
    x = 979,177.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.