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Finding the Third Proportional to 77,415 and 113,135

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Solution

The third proportional to 77,415 and 113,135 is: 165,336.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,415 : 113,135 = 113,135 : x
  2. Step 2: Convert to fraction form
    77,415/113,135 = 113,135/x
  3. Step 3: Cross multiply
    77,415x = 113,135 × 113,135
  4. Step 4: Simplify right side
    77,415x = 12,799,528,225
  5. Step 5: Solve for x
    x = 12,799,528,225/77,415
  6. Step 6: Final answer
    x = 165,336.54

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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.