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Finding the Third Proportional to 199,748 and 427,927

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Solution

The third proportional to 199,748 and 427,927 is: 916,762.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,748 : 427,927 = 427,927 : x
  2. Step 2: Convert to fraction form
    199,748/427,927 = 427,927/x
  3. Step 3: Cross multiply
    199,748x = 427,927 × 427,927
  4. Step 4: Simplify right side
    199,748x = 183,121,517,329
  5. Step 5: Solve for x
    x = 183,121,517,329/199,748
  6. Step 6: Final answer
    x = 916,762.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.