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Finding the Third Proportional to 102,359 and 221,484

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Solution

The third proportional to 102,359 and 221,484 is: 479,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,359 : 221,484 = 221,484 : x
  2. Step 2: Convert to fraction form
    102,359/221,484 = 221,484/x
  3. Step 3: Cross multiply
    102,359x = 221,484 × 221,484
  4. Step 4: Simplify right side
    102,359x = 49,055,162,256
  5. Step 5: Solve for x
    x = 49,055,162,256/102,359
  6. Step 6: Final answer
    x = 479,246.20

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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.