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Finding the Third Proportional to 278,964 and 358,182

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Solution

The third proportional to 278,964 and 358,182 is: 459,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,964 : 358,182 = 358,182 : x
  2. Step 2: Convert to fraction form
    278,964/358,182 = 358,182/x
  3. Step 3: Cross multiply
    278,964x = 358,182 × 358,182
  4. Step 4: Simplify right side
    278,964x = 128,294,345,124
  5. Step 5: Solve for x
    x = 128,294,345,124/278,964
  6. Step 6: Final answer
    x = 459,895.70

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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.