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Finding the Third Proportional to 50,610 and 75,506

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Solution

The third proportional to 50,610 and 75,506 is: 112,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,610 : 75,506 = 75,506 : x
  2. Step 2: Convert to fraction form
    50,610/75,506 = 75,506/x
  3. Step 3: Cross multiply
    50,610x = 75,506 × 75,506
  4. Step 4: Simplify right side
    50,610x = 5,701,156,036
  5. Step 5: Solve for x
    x = 5,701,156,036/50,610
  6. Step 6: Final answer
    x = 112,648.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.