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Finding the Third Proportional to 30,260 and 70,317

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Solution

The third proportional to 30,260 and 70,317 is: 163,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,260 : 70,317 = 70,317 : x
  2. Step 2: Convert to fraction form
    30,260/70,317 = 70,317/x
  3. Step 3: Cross multiply
    30,260x = 70,317 × 70,317
  4. Step 4: Simplify right side
    30,260x = 4,944,480,489
  5. Step 5: Solve for x
    x = 4,944,480,489/30,260
  6. Step 6: Final answer
    x = 163,399.88

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.