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Finding the Third Proportional to 101,730 and 220,973

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Solution

The third proportional to 101,730 and 220,973 is: 479,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,730 : 220,973 = 220,973 : x
  2. Step 2: Convert to fraction form
    101,730/220,973 = 220,973/x
  3. Step 3: Cross multiply
    101,730x = 220,973 × 220,973
  4. Step 4: Simplify right side
    101,730x = 48,829,066,729
  5. Step 5: Solve for x
    x = 48,829,066,729/101,730
  6. Step 6: Final answer
    x = 479,986.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.