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Finding the Third Proportional to 234,578 and 553,208

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Solution

The third proportional to 234,578 and 553,208 is: 1,304,636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,578 : 553,208 = 553,208 : x
  2. Step 2: Convert to fraction form
    234,578/553,208 = 553,208/x
  3. Step 3: Cross multiply
    234,578x = 553,208 × 553,208
  4. Step 4: Simplify right side
    234,578x = 306,039,091,264
  5. Step 5: Solve for x
    x = 306,039,091,264/234,578
  6. Step 6: Final answer
    x = 1,304,636.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.