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Finding the Third Proportional to 101,313 and 218,335

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Solution

The third proportional to 101,313 and 218,335 is: 470,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,313 : 218,335 = 218,335 : x
  2. Step 2: Convert to fraction form
    101,313/218,335 = 218,335/x
  3. Step 3: Cross multiply
    101,313x = 218,335 × 218,335
  4. Step 4: Simplify right side
    101,313x = 47,670,172,225
  5. Step 5: Solve for x
    x = 47,670,172,225/101,313
  6. Step 6: Final answer
    x = 470,523.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.