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Finding the Third Proportional to 205,440 and 427,008

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Solution

The third proportional to 205,440 and 427,008 is: 887,538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,440 : 427,008 = 427,008 : x
  2. Step 2: Convert to fraction form
    205,440/427,008 = 427,008/x
  3. Step 3: Cross multiply
    205,440x = 427,008 × 427,008
  4. Step 4: Simplify right side
    205,440x = 182,335,832,064
  5. Step 5: Solve for x
    x = 182,335,832,064/205,440
  6. Step 6: Final answer
    x = 887,538.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.