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Finding the Third Proportional to 876,192 and 968,352

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Solution

The third proportional to 876,192 and 968,352 is: 1,070,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,192 : 968,352 = 968,352 : x
  2. Step 2: Convert to fraction form
    876,192/968,352 = 968,352/x
  3. Step 3: Cross multiply
    876,192x = 968,352 × 968,352
  4. Step 4: Simplify right side
    876,192x = 937,705,595,904
  5. Step 5: Solve for x
    x = 937,705,595,904/876,192
  6. Step 6: Final answer
    x = 1,070,205.61

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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.