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Finding the Third Proportional to 64,655 and 100,345

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Solution

The third proportional to 64,655 and 100,345 is: 155,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,655 : 100,345 = 100,345 : x
  2. Step 2: Convert to fraction form
    64,655/100,345 = 100,345/x
  3. Step 3: Cross multiply
    64,655x = 100,345 × 100,345
  4. Step 4: Simplify right side
    64,655x = 10,069,119,025
  5. Step 5: Solve for x
    x = 10,069,119,025/64,655
  6. Step 6: Final answer
    x = 155,736.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.