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Finding the Third Proportional to 40,407 and 85,998

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Solution

The third proportional to 40,407 and 85,998 is: 183,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,407 : 85,998 = 85,998 : x
  2. Step 2: Convert to fraction form
    40,407/85,998 = 85,998/x
  3. Step 3: Cross multiply
    40,407x = 85,998 × 85,998
  4. Step 4: Simplify right side
    40,407x = 7,395,656,004
  5. Step 5: Solve for x
    x = 7,395,656,004/40,407
  6. Step 6: Final answer
    x = 183,029.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.