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Finding the Third Proportional to 45,070 and 73,889

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Solution

The third proportional to 45,070 and 73,889 is: 121,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,070 : 73,889 = 73,889 : x
  2. Step 2: Convert to fraction form
    45,070/73,889 = 73,889/x
  3. Step 3: Cross multiply
    45,070x = 73,889 × 73,889
  4. Step 4: Simplify right side
    45,070x = 5,459,584,321
  5. Step 5: Solve for x
    x = 5,459,584,321/45,070
  6. Step 6: Final answer
    x = 121,135.66

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.