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Finding the Third Proportional to 207,218.81 and 309,548.25

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Solution

The third proportional to 207,218.81 and 309,548.25 is: 462,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,218.81 : 309,548.25 = 309,548.25 : x
  2. Step 2: Convert to fraction form
    207,218.81/309,548.25 = 309,548.25/x
  3. Step 3: Cross multiply
    207,218.81x = 309,548.25 × 309,548.25
  4. Step 4: Simplify right side
    207,218.81x = 95,820,119,078.06
  5. Step 5: Solve for x
    x = 95,820,119,078.06/207,218.81
  6. Step 6: Final answer
    x = 462,410.33

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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.