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Finding the Third Proportional to 209,718 and 315,169

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Solution

The third proportional to 209,718 and 315,169 is: 473,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,718 : 315,169 = 315,169 : x
  2. Step 2: Convert to fraction form
    209,718/315,169 = 315,169/x
  3. Step 3: Cross multiply
    209,718x = 315,169 × 315,169
  4. Step 4: Simplify right side
    209,718x = 99,331,498,561
  5. Step 5: Solve for x
    x = 99,331,498,561/209,718
  6. Step 6: Final answer
    x = 473,643.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.