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Finding the Third Proportional to 100,459 and 136,807

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Solution

The third proportional to 100,459 and 136,807 is: 186,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,459 : 136,807 = 136,807 : x
  2. Step 2: Convert to fraction form
    100,459/136,807 = 136,807/x
  3. Step 3: Cross multiply
    100,459x = 136,807 × 136,807
  4. Step 4: Simplify right side
    100,459x = 18,716,155,249
  5. Step 5: Solve for x
    x = 18,716,155,249/100,459
  6. Step 6: Final answer
    x = 186,306.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.