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Finding the Third Proportional to 219,122 and 338,359

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Solution

The third proportional to 219,122 and 338,359 is: 522,479.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,122 : 338,359 = 338,359 : x
  2. Step 2: Convert to fraction form
    219,122/338,359 = 338,359/x
  3. Step 3: Cross multiply
    219,122x = 338,359 × 338,359
  4. Step 4: Simplify right side
    219,122x = 114,486,812,881
  5. Step 5: Solve for x
    x = 114,486,812,881/219,122
  6. Step 6: Final answer
    x = 522,479.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.