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Finding the Third Proportional to 78,754 and 121,047

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Solution

The third proportional to 78,754 and 121,047 is: 186,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,754 : 121,047 = 121,047 : x
  2. Step 2: Convert to fraction form
    78,754/121,047 = 121,047/x
  3. Step 3: Cross multiply
    78,754x = 121,047 × 121,047
  4. Step 4: Simplify right side
    78,754x = 14,652,376,209
  5. Step 5: Solve for x
    x = 14,652,376,209/78,754
  6. Step 6: Final answer
    x = 186,052.47

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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.