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Finding the Third Proportional to 187,866 and 290,940

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Solution

The third proportional to 187,866 and 290,940 is: 450,566.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,866 : 290,940 = 290,940 : x
  2. Step 2: Convert to fraction form
    187,866/290,940 = 290,940/x
  3. Step 3: Cross multiply
    187,866x = 290,940 × 290,940
  4. Step 4: Simplify right side
    187,866x = 84,646,083,600
  5. Step 5: Solve for x
    x = 84,646,083,600/187,866
  6. Step 6: Final answer
    x = 450,566.27

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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.