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Finding the Third Proportional to 136,327.50 and 289,287

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Solution

The third proportional to 136,327.50 and 289,287 is: 613,867.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,327.50 : 289,287 = 289,287 : x
  2. Step 2: Convert to fraction form
    136,327.50/289,287 = 289,287/x
  3. Step 3: Cross multiply
    136,327.50x = 289,287 × 289,287
  4. Step 4: Simplify right side
    136,327.50x = 83,686,968,369
  5. Step 5: Solve for x
    x = 83,686,968,369/136,327.50
  6. Step 6: Final answer
    x = 613,867.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.