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Finding the Third Proportional to 102,415 and 149,119.50

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Solution

The third proportional to 102,415 and 149,119.50 is: 217,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,415 : 149,119.50 = 149,119.50 : x
  2. Step 2: Convert to fraction form
    102,415/149,119.50 = 149,119.50/x
  3. Step 3: Cross multiply
    102,415x = 149,119.50 × 149,119.50
  4. Step 4: Simplify right side
    102,415x = 22,236,625,280.25
  5. Step 5: Solve for x
    x = 22,236,625,280.25/102,415
  6. Step 6: Final answer
    x = 217,122.74

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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.