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Finding the Third Proportional to 40,345 and 85,489

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Solution

The third proportional to 40,345 and 85,489 is: 181,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,345 : 85,489 = 85,489 : x
  2. Step 2: Convert to fraction form
    40,345/85,489 = 85,489/x
  3. Step 3: Cross multiply
    40,345x = 85,489 × 85,489
  4. Step 4: Simplify right side
    40,345x = 7,308,369,121
  5. Step 5: Solve for x
    x = 7,308,369,121/40,345
  6. Step 6: Final answer
    x = 181,146.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.