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Finding the Third Proportional to 31,070 and 49,221

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Solution

The third proportional to 31,070 and 49,221 is: 77,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,070 : 49,221 = 49,221 : x
  2. Step 2: Convert to fraction form
    31,070/49,221 = 49,221/x
  3. Step 3: Cross multiply
    31,070x = 49,221 × 49,221
  4. Step 4: Simplify right side
    31,070x = 2,422,706,841
  5. Step 5: Solve for x
    x = 2,422,706,841/31,070
  6. Step 6: Final answer
    x = 77,975.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.