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Finding the Third Proportional to 417,442 and 559,243

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Solution

The third proportional to 417,442 and 559,243 is: 749,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,442 : 559,243 = 559,243 : x
  2. Step 2: Convert to fraction form
    417,442/559,243 = 559,243/x
  3. Step 3: Cross multiply
    417,442x = 559,243 × 559,243
  4. Step 4: Simplify right side
    417,442x = 312,752,733,049
  5. Step 5: Solve for x
    x = 312,752,733,049/417,442
  6. Step 6: Final answer
    x = 749,212.42

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.