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Finding the Third Proportional to 37,122 and 77,889

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Solution

The third proportional to 37,122 and 77,889 is: 163,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,122 : 77,889 = 77,889 : x
  2. Step 2: Convert to fraction form
    37,122/77,889 = 77,889/x
  3. Step 3: Cross multiply
    37,122x = 77,889 × 77,889
  4. Step 4: Simplify right side
    37,122x = 6,066,696,321
  5. Step 5: Solve for x
    x = 6,066,696,321/37,122
  6. Step 6: Final answer
    x = 163,425.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.