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Finding the Third Proportional to 187,953 and 290,902

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Solution

The third proportional to 187,953 and 290,902 is: 450,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,953 : 290,902 = 290,902 : x
  2. Step 2: Convert to fraction form
    187,953/290,902 = 290,902/x
  3. Step 3: Cross multiply
    187,953x = 290,902 × 290,902
  4. Step 4: Simplify right side
    187,953x = 84,623,973,604
  5. Step 5: Solve for x
    x = 84,623,973,604/187,953
  6. Step 6: Final answer
    x = 450,240.08

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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.