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Finding the Third Proportional to 109,496 and 236,083

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Solution

The third proportional to 109,496 and 236,083 is: 509,015.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,496 : 236,083 = 236,083 : x
  2. Step 2: Convert to fraction form
    109,496/236,083 = 236,083/x
  3. Step 3: Cross multiply
    109,496x = 236,083 × 236,083
  4. Step 4: Simplify right side
    109,496x = 55,735,182,889
  5. Step 5: Solve for x
    x = 55,735,182,889/109,496
  6. Step 6: Final answer
    x = 509,015.70

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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.