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Finding the Third Proportional to 78,840 and 106,221

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Solution

The third proportional to 78,840 and 106,221 is: 143,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,840 : 106,221 = 106,221 : x
  2. Step 2: Convert to fraction form
    78,840/106,221 = 106,221/x
  3. Step 3: Cross multiply
    78,840x = 106,221 × 106,221
  4. Step 4: Simplify right side
    78,840x = 11,282,900,841
  5. Step 5: Solve for x
    x = 11,282,900,841/78,840
  6. Step 6: Final answer
    x = 143,111.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.