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Finding the Third Proportional to 60,415 and 92,213.50

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Solution

The third proportional to 60,415 and 92,213.50 is: 140,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,415 : 92,213.50 = 92,213.50 : x
  2. Step 2: Convert to fraction form
    60,415/92,213.50 = 92,213.50/x
  3. Step 3: Cross multiply
    60,415x = 92,213.50 × 92,213.50
  4. Step 4: Simplify right side
    60,415x = 8,503,329,582.25
  5. Step 5: Solve for x
    x = 8,503,329,582.25/60,415
  6. Step 6: Final answer
    x = 140,748.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.