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Finding the Third Proportional to 291,645 and 417,055

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Solution

The third proportional to 291,645 and 417,055 is: 596,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,645 : 417,055 = 417,055 : x
  2. Step 2: Convert to fraction form
    291,645/417,055 = 417,055/x
  3. Step 3: Cross multiply
    291,645x = 417,055 × 417,055
  4. Step 4: Simplify right side
    291,645x = 173,934,873,025
  5. Step 5: Solve for x
    x = 173,934,873,025/291,645
  6. Step 6: Final answer
    x = 596,392.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.