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Finding the Third Proportional to 212,711.06 and 329,323.22

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Solution

The third proportional to 212,711.06 and 329,323.22 is: 509,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,711.06 : 329,323.22 = 329,323.22 : x
  2. Step 2: Convert to fraction form
    212,711.06/329,323.22 = 329,323.22/x
  3. Step 3: Cross multiply
    212,711.06x = 329,323.22 × 329,323.22
  4. Step 4: Simplify right side
    212,711.06x = 108,453,782,407.86
  5. Step 5: Solve for x
    x = 108,453,782,407.86/212,711.06
  6. Step 6: Final answer
    x = 509,864.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.