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Finding the Third Proportional to 278,968 and 358,188

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Solution

The third proportional to 278,968 and 358,188 is: 459,904.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,968 : 358,188 = 358,188 : x
  2. Step 2: Convert to fraction form
    278,968/358,188 = 358,188/x
  3. Step 3: Cross multiply
    278,968x = 358,188 × 358,188
  4. Step 4: Simplify right side
    278,968x = 128,298,643,344
  5. Step 5: Solve for x
    x = 128,298,643,344/278,968
  6. Step 6: Final answer
    x = 459,904.52

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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.