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Finding the Third Proportional to 21,386 and 31,107

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Solution

The third proportional to 21,386 and 31,107 is: 45,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,386 : 31,107 = 31,107 : x
  2. Step 2: Convert to fraction form
    21,386/31,107 = 31,107/x
  3. Step 3: Cross multiply
    21,386x = 31,107 × 31,107
  4. Step 4: Simplify right side
    21,386x = 967,645,449
  5. Step 5: Solve for x
    x = 967,645,449/21,386
  6. Step 6: Final answer
    x = 45,246.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.