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Finding the Third Proportional to 105,123 and 163,221

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Solution

The third proportional to 105,123 and 163,221 is: 253,427.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,123 : 163,221 = 163,221 : x
  2. Step 2: Convert to fraction form
    105,123/163,221 = 163,221/x
  3. Step 3: Cross multiply
    105,123x = 163,221 × 163,221
  4. Step 4: Simplify right side
    105,123x = 26,641,094,841
  5. Step 5: Solve for x
    x = 26,641,094,841/105,123
  6. Step 6: Final answer
    x = 253,427.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.