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Finding the Third Proportional to 268,154 and 393,465

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Solution

The third proportional to 268,154 and 393,465 is: 577,335.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,154 : 393,465 = 393,465 : x
  2. Step 2: Convert to fraction form
    268,154/393,465 = 393,465/x
  3. Step 3: Cross multiply
    268,154x = 393,465 × 393,465
  4. Step 4: Simplify right side
    268,154x = 154,814,706,225
  5. Step 5: Solve for x
    x = 154,814,706,225/268,154
  6. Step 6: Final answer
    x = 577,335.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.