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Finding the Third Proportional to 134,221.88 and 289,459.88

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Solution

The third proportional to 134,221.88 and 289,459.88 is: 624,242.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,221.88 : 289,459.88 = 289,459.88 : x
  2. Step 2: Convert to fraction form
    134,221.88/289,459.88 = 289,459.88/x
  3. Step 3: Cross multiply
    134,221.88x = 289,459.88 × 289,459.88
  4. Step 4: Simplify right side
    134,221.88x = 83,787,019,235.02
  5. Step 5: Solve for x
    x = 83,787,019,235.02/134,221.88
  6. Step 6: Final answer
    x = 624,242.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.