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Finding the Third Proportional to 187,220.25 and 287,763.75

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Solution

The third proportional to 187,220.25 and 287,763.75 is: 442,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,220.25 : 287,763.75 = 287,763.75 : x
  2. Step 2: Convert to fraction form
    187,220.25/287,763.75 = 287,763.75/x
  3. Step 3: Cross multiply
    187,220.25x = 287,763.75 × 287,763.75
  4. Step 4: Simplify right side
    187,220.25x = 82,807,975,814.06
  5. Step 5: Solve for x
    x = 82,807,975,814.06/187,220.25
  6. Step 6: Final answer
    x = 442,302.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.