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Finding the Third Proportional to 109,533 and 121,053

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Solution

The third proportional to 109,533 and 121,053 is: 133,784.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,533 : 121,053 = 121,053 : x
  2. Step 2: Convert to fraction form
    109,533/121,053 = 121,053/x
  3. Step 3: Cross multiply
    109,533x = 121,053 × 121,053
  4. Step 4: Simplify right side
    109,533x = 14,653,828,809
  5. Step 5: Solve for x
    x = 14,653,828,809/109,533
  6. Step 6: Final answer
    x = 133,784.60

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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.