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Finding the Third Proportional to 207,443.25 and 320,377.50

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Solution

The third proportional to 207,443.25 and 320,377.50 is: 494,794.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,443.25 : 320,377.50 = 320,377.50 : x
  2. Step 2: Convert to fraction form
    207,443.25/320,377.50 = 320,377.50/x
  3. Step 3: Cross multiply
    207,443.25x = 320,377.50 × 320,377.50
  4. Step 4: Simplify right side
    207,443.25x = 102,641,742,506.25
  5. Step 5: Solve for x
    x = 102,641,742,506.25/207,443.25
  6. Step 6: Final answer
    x = 494,794.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.