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Finding the Third Proportional to 73,056 and 93,352

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Solution

The third proportional to 73,056 and 93,352 is: 119,286.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,056 : 93,352 = 93,352 : x
  2. Step 2: Convert to fraction form
    73,056/93,352 = 93,352/x
  3. Step 3: Cross multiply
    73,056x = 93,352 × 93,352
  4. Step 4: Simplify right side
    73,056x = 8,714,595,904
  5. Step 5: Solve for x
    x = 8,714,595,904/73,056
  6. Step 6: Final answer
    x = 119,286.52

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.