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Finding the Third Proportional to 187,039.50 and 290,208

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Solution

The third proportional to 187,039.50 and 290,208 is: 450,282.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,039.50 : 290,208 = 290,208 : x
  2. Step 2: Convert to fraction form
    187,039.50/290,208 = 290,208/x
  3. Step 3: Cross multiply
    187,039.50x = 290,208 × 290,208
  4. Step 4: Simplify right side
    187,039.50x = 84,220,683,264
  5. Step 5: Solve for x
    x = 84,220,683,264/187,039.50
  6. Step 6: Final answer
    x = 450,282.87

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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.