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Finding the Third Proportional to 106,440 and 163,654.50

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Solution

The third proportional to 106,440 and 163,654.50 is: 251,623.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,440 : 163,654.50 = 163,654.50 : x
  2. Step 2: Convert to fraction form
    106,440/163,654.50 = 163,654.50/x
  3. Step 3: Cross multiply
    106,440x = 163,654.50 × 163,654.50
  4. Step 4: Simplify right side
    106,440x = 26,782,795,370.25
  5. Step 5: Solve for x
    x = 26,782,795,370.25/106,440
  6. Step 6: Final answer
    x = 251,623.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.