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Finding the Third Proportional to 187,897.50 and 290,990.25

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Solution

The third proportional to 187,897.50 and 290,990.25 is: 450,646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,897.50 : 290,990.25 = 290,990.25 : x
  2. Step 2: Convert to fraction form
    187,897.50/290,990.25 = 290,990.25/x
  3. Step 3: Cross multiply
    187,897.50x = 290,990.25 × 290,990.25
  4. Step 4: Simplify right side
    187,897.50x = 84,675,325,595.06
  5. Step 5: Solve for x
    x = 84,675,325,595.06/187,897.50
  6. Step 6: Final answer
    x = 450,646.37

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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.