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Finding the Third Proportional to 102,298 and 221,228

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Solution

The third proportional to 102,298 and 221,228 is: 478,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,298 : 221,228 = 221,228 : x
  2. Step 2: Convert to fraction form
    102,298/221,228 = 221,228/x
  3. Step 3: Cross multiply
    102,298x = 221,228 × 221,228
  4. Step 4: Simplify right side
    102,298x = 48,941,827,984
  5. Step 5: Solve for x
    x = 48,941,827,984/102,298
  6. Step 6: Final answer
    x = 478,424.09

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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.