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Finding the Third Proportional to 289,544 and 417,707

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Solution

The third proportional to 289,544 and 417,707 is: 602,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,544 : 417,707 = 417,707 : x
  2. Step 2: Convert to fraction form
    289,544/417,707 = 417,707/x
  3. Step 3: Cross multiply
    289,544x = 417,707 × 417,707
  4. Step 4: Simplify right side
    289,544x = 174,479,137,849
  5. Step 5: Solve for x
    x = 174,479,137,849/289,544
  6. Step 6: Final answer
    x = 602,599.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.