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Finding the Third Proportional to 78,352 and 114,246

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Solution

The third proportional to 78,352 and 114,246 is: 166,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,352 : 114,246 = 114,246 : x
  2. Step 2: Convert to fraction form
    78,352/114,246 = 114,246/x
  3. Step 3: Cross multiply
    78,352x = 114,246 × 114,246
  4. Step 4: Simplify right side
    78,352x = 13,052,148,516
  5. Step 5: Solve for x
    x = 13,052,148,516/78,352
  6. Step 6: Final answer
    x = 166,583.48

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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.