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Finding the Third Proportional to 207,207.75 and 309,533.25

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Solution

The third proportional to 207,207.75 and 309,533.25 is: 462,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,207.75 : 309,533.25 = 309,533.25 : x
  2. Step 2: Convert to fraction form
    207,207.75/309,533.25 = 309,533.25/x
  3. Step 3: Cross multiply
    207,207.75x = 309,533.25 × 309,533.25
  4. Step 4: Simplify right side
    207,207.75x = 95,810,832,855.56
  5. Step 5: Solve for x
    x = 95,810,832,855.56/207,207.75
  6. Step 6: Final answer
    x = 462,390.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.