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Finding the Third Proportional to 128,253 and 191,661

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Solution

The third proportional to 128,253 and 191,661 is: 286,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,253 : 191,661 = 191,661 : x
  2. Step 2: Convert to fraction form
    128,253/191,661 = 191,661/x
  3. Step 3: Cross multiply
    128,253x = 191,661 × 191,661
  4. Step 4: Simplify right side
    128,253x = 36,733,938,921
  5. Step 5: Solve for x
    x = 36,733,938,921/128,253
  6. Step 6: Final answer
    x = 286,417.78

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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.