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Finding the Third Proportional to 187,434 and 290,304

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Solution

The third proportional to 187,434 and 290,304 is: 449,632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,434 : 290,304 = 290,304 : x
  2. Step 2: Convert to fraction form
    187,434/290,304 = 290,304/x
  3. Step 3: Cross multiply
    187,434x = 290,304 × 290,304
  4. Step 4: Simplify right side
    187,434x = 84,276,412,416
  5. Step 5: Solve for x
    x = 84,276,412,416/187,434
  6. Step 6: Final answer
    x = 449,632.47

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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.