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Finding the Third Proportional to 417,833.50 and 645,917.50

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Solution

The third proportional to 417,833.50 and 645,917.50 is: 998,506.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,833.50 : 645,917.50 = 645,917.50 : x
  2. Step 2: Convert to fraction form
    417,833.50/645,917.50 = 645,917.50/x
  3. Step 3: Cross multiply
    417,833.50x = 645,917.50 × 645,917.50
  4. Step 4: Simplify right side
    417,833.50x = 417,209,416,806.25
  5. Step 5: Solve for x
    x = 417,209,416,806.25/417,833.50
  6. Step 6: Final answer
    x = 998,506.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.