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Finding the Third Proportional to 187,706 and 290,888

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Solution

The third proportional to 187,706 and 290,888 is: 450,789.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,706 : 290,888 = 290,888 : x
  2. Step 2: Convert to fraction form
    187,706/290,888 = 290,888/x
  3. Step 3: Cross multiply
    187,706x = 290,888 × 290,888
  4. Step 4: Simplify right side
    187,706x = 84,615,828,544
  5. Step 5: Solve for x
    x = 84,615,828,544/187,706
  6. Step 6: Final answer
    x = 450,789.15

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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.