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Finding the Third Proportional to 78,356 and 114,252

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Solution

The third proportional to 78,356 and 114,252 is: 166,592.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,356 : 114,252 = 114,252 : x
  2. Step 2: Convert to fraction form
    78,356/114,252 = 114,252/x
  3. Step 3: Cross multiply
    78,356x = 114,252 × 114,252
  4. Step 4: Simplify right side
    78,356x = 13,053,519,504
  5. Step 5: Solve for x
    x = 13,053,519,504/78,356
  6. Step 6: Final answer
    x = 166,592.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.