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Finding the Third Proportional to 137,040 and 305,221.50

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Solution

The third proportional to 137,040 and 305,221.50 is: 679,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,040 : 305,221.50 = 305,221.50 : x
  2. Step 2: Convert to fraction form
    137,040/305,221.50 = 305,221.50/x
  3. Step 3: Cross multiply
    137,040x = 305,221.50 × 305,221.50
  4. Step 4: Simplify right side
    137,040x = 93,160,164,062.25
  5. Step 5: Solve for x
    x = 93,160,164,062.25/137,040
  6. Step 6: Final answer
    x = 679,802.71

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.