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Finding the Third Proportional to 134,118 and 290,015

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Solution

The third proportional to 134,118 and 290,015 is: 627,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,118 : 290,015 = 290,015 : x
  2. Step 2: Convert to fraction form
    134,118/290,015 = 290,015/x
  3. Step 3: Cross multiply
    134,118x = 290,015 × 290,015
  4. Step 4: Simplify right side
    134,118x = 84,108,700,225
  5. Step 5: Solve for x
    x = 84,108,700,225/134,118
  6. Step 6: Final answer
    x = 627,124.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.