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Finding the Third Proportional to 291,272.06 and 393,527.25

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Solution

The third proportional to 291,272.06 and 393,527.25 is: 531,680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,272.06 : 393,527.25 = 393,527.25 : x
  2. Step 2: Convert to fraction form
    291,272.06/393,527.25 = 393,527.25/x
  3. Step 3: Cross multiply
    291,272.06x = 393,527.25 × 393,527.25
  4. Step 4: Simplify right side
    291,272.06x = 154,863,696,492.56
  5. Step 5: Solve for x
    x = 154,863,696,492.56/291,272.06
  6. Step 6: Final answer
    x = 531,680.57

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.