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Finding the Third Proportional to 109,527 and 121,047

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Solution

The third proportional to 109,527 and 121,047 is: 133,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,527 : 121,047 = 121,047 : x
  2. Step 2: Convert to fraction form
    109,527/121,047 = 121,047/x
  3. Step 3: Cross multiply
    109,527x = 121,047 × 121,047
  4. Step 4: Simplify right side
    109,527x = 14,652,376,209
  5. Step 5: Solve for x
    x = 14,652,376,209/109,527
  6. Step 6: Final answer
    x = 133,778.67

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.