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Finding the Third Proportional to 105,428 and 154,415

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Solution

The third proportional to 105,428 and 154,415 is: 226,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,428 : 154,415 = 154,415 : x
  2. Step 2: Convert to fraction form
    105,428/154,415 = 154,415/x
  3. Step 3: Cross multiply
    105,428x = 154,415 × 154,415
  4. Step 4: Simplify right side
    105,428x = 23,843,992,225
  5. Step 5: Solve for x
    x = 23,843,992,225/105,428
  6. Step 6: Final answer
    x = 226,163.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.