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Finding the Third Proportional to 307,558 and 413,767

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Solution

The third proportional to 307,558 and 413,767 is: 556,653.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,558 : 413,767 = 413,767 : x
  2. Step 2: Convert to fraction form
    307,558/413,767 = 413,767/x
  3. Step 3: Cross multiply
    307,558x = 413,767 × 413,767
  4. Step 4: Simplify right side
    307,558x = 171,203,130,289
  5. Step 5: Solve for x
    x = 171,203,130,289/307,558
  6. Step 6: Final answer
    x = 556,653.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.