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Finding the Third Proportional to 307,320 and 414,287

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Solution

The third proportional to 307,320 and 414,287 is: 558,485.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,320 : 414,287 = 414,287 : x
  2. Step 2: Convert to fraction form
    307,320/414,287 = 414,287/x
  3. Step 3: Cross multiply
    307,320x = 414,287 × 414,287
  4. Step 4: Simplify right side
    307,320x = 171,633,718,369
  5. Step 5: Solve for x
    x = 171,633,718,369/307,320
  6. Step 6: Final answer
    x = 558,485.35

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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.