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Finding the Third Proportional to 187,975.69 and 290,868.47

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Solution

The third proportional to 187,975.69 and 290,868.47 is: 450,081.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,975.69 : 290,868.47 = 290,868.47 : x
  2. Step 2: Convert to fraction form
    187,975.69/290,868.47 = 290,868.47/x
  3. Step 3: Cross multiply
    187,975.69x = 290,868.47 × 290,868.47
  4. Step 4: Simplify right side
    187,975.69x = 84,604,466,112.97
  5. Step 5: Solve for x
    x = 84,604,466,112.97/187,975.69
  6. Step 6: Final answer
    x = 450,081.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.