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Finding the Third Proportional to 209,203.50 and 457,287

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Solution

The third proportional to 209,203.50 and 457,287 is: 999,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,203.50 : 457,287 = 457,287 : x
  2. Step 2: Convert to fraction form
    209,203.50/457,287 = 457,287/x
  3. Step 3: Cross multiply
    209,203.50x = 457,287 × 457,287
  4. Step 4: Simplify right side
    209,203.50x = 209,111,400,369
  5. Step 5: Solve for x
    x = 209,111,400,369/209,203.50
  6. Step 6: Final answer
    x = 999,559.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.