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Finding the Third Proportional to 133,330.50 and 282,345.75

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Solution

The third proportional to 133,330.50 and 282,345.75 is: 597,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,330.50 : 282,345.75 = 282,345.75 : x
  2. Step 2: Convert to fraction form
    133,330.50/282,345.75 = 282,345.75/x
  3. Step 3: Cross multiply
    133,330.50x = 282,345.75 × 282,345.75
  4. Step 4: Simplify right side
    133,330.50x = 79,719,122,543.06
  5. Step 5: Solve for x
    x = 79,719,122,543.06/133,330.50
  6. Step 6: Final answer
    x = 597,906.12

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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.