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Finding the Third Proportional to 101,053 and 220,046

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Solution

The third proportional to 101,053 and 220,046 is: 479,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,053 : 220,046 = 220,046 : x
  2. Step 2: Convert to fraction form
    101,053/220,046 = 220,046/x
  3. Step 3: Cross multiply
    101,053x = 220,046 × 220,046
  4. Step 4: Simplify right side
    101,053x = 48,420,242,116
  5. Step 5: Solve for x
    x = 48,420,242,116/101,053
  6. Step 6: Final answer
    x = 479,156.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.