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Finding the Third Proportional to 278,996 and 358,230

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Solution

The third proportional to 278,996 and 358,230 is: 459,966.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,996 : 358,230 = 358,230 : x
  2. Step 2: Convert to fraction form
    278,996/358,230 = 358,230/x
  3. Step 3: Cross multiply
    278,996x = 358,230 × 358,230
  4. Step 4: Simplify right side
    278,996x = 128,328,732,900
  5. Step 5: Solve for x
    x = 128,328,732,900/278,996
  6. Step 6: Final answer
    x = 459,966.21

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.