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Finding the Third Proportional to 153,231.75 and 243,506.25

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Solution

The third proportional to 153,231.75 and 243,506.25 is: 386,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,231.75 : 243,506.25 = 243,506.25 : x
  2. Step 2: Convert to fraction form
    153,231.75/243,506.25 = 243,506.25/x
  3. Step 3: Cross multiply
    153,231.75x = 243,506.25 × 243,506.25
  4. Step 4: Simplify right side
    153,231.75x = 59,295,293,789.06
  5. Step 5: Solve for x
    x = 59,295,293,789.06/153,231.75
  6. Step 6: Final answer
    x = 386,964.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.