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Finding the Third Proportional to 291,276 and 393,532

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Solution

The third proportional to 291,276 and 393,532 is: 531,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,276 : 393,532 = 393,532 : x
  2. Step 2: Convert to fraction form
    291,276/393,532 = 393,532/x
  3. Step 3: Cross multiply
    291,276x = 393,532 × 393,532
  4. Step 4: Simplify right side
    291,276x = 154,867,435,024
  5. Step 5: Solve for x
    x = 154,867,435,024/291,276
  6. Step 6: Final answer
    x = 531,686.22

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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.