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Finding the Third Proportional to 221,397.75 and 310,672.13

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Solution

The third proportional to 221,397.75 and 310,672.13 is: 435,944.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,397.75 : 310,672.13 = 310,672.13 : x
  2. Step 2: Convert to fraction form
    221,397.75/310,672.13 = 310,672.13/x
  3. Step 3: Cross multiply
    221,397.75x = 310,672.13 × 310,672.13
  4. Step 4: Simplify right side
    221,397.75x = 96,517,169,252.02
  5. Step 5: Solve for x
    x = 96,517,169,252.02/221,397.75
  6. Step 6: Final answer
    x = 435,944.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.