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Finding the Third Proportional to 210,161.25 and 317,432.25

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Solution

The third proportional to 210,161.25 and 317,432.25 is: 479,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,161.25 : 317,432.25 = 317,432.25 : x
  2. Step 2: Convert to fraction form
    210,161.25/317,432.25 = 317,432.25/x
  3. Step 3: Cross multiply
    210,161.25x = 317,432.25 × 317,432.25
  4. Step 4: Simplify right side
    210,161.25x = 100,763,233,340.06
  5. Step 5: Solve for x
    x = 100,763,233,340.06/210,161.25
  6. Step 6: Final answer
    x = 479,456.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.