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Finding the Third Proportional to 254,358 and 393,670

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Solution

The third proportional to 254,358 and 393,670 is: 609,283.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,358 : 393,670 = 393,670 : x
  2. Step 2: Convert to fraction form
    254,358/393,670 = 393,670/x
  3. Step 3: Cross multiply
    254,358x = 393,670 × 393,670
  4. Step 4: Simplify right side
    254,358x = 154,976,068,900
  5. Step 5: Solve for x
    x = 154,976,068,900/254,358
  6. Step 6: Final answer
    x = 609,283.25

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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.