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Finding the Third Proportional to 109,768 and 236,636

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Solution

The third proportional to 109,768 and 236,636 is: 510,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,768 : 236,636 = 236,636 : x
  2. Step 2: Convert to fraction form
    109,768/236,636 = 236,636/x
  3. Step 3: Cross multiply
    109,768x = 236,636 × 236,636
  4. Step 4: Simplify right side
    109,768x = 55,996,596,496
  5. Step 5: Solve for x
    x = 55,996,596,496/109,768
  6. Step 6: Final answer
    x = 510,135.89

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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.