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Finding the Third Proportional to 145,438 and 317,156

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Solution

The third proportional to 145,438 and 317,156 is: 691,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,438 : 317,156 = 317,156 : x
  2. Step 2: Convert to fraction form
    145,438/317,156 = 317,156/x
  3. Step 3: Cross multiply
    145,438x = 317,156 × 317,156
  4. Step 4: Simplify right side
    145,438x = 100,587,928,336
  5. Step 5: Solve for x
    x = 100,587,928,336/145,438
  6. Step 6: Final answer
    x = 691,620.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.