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Finding the Third Proportional to 30,187 and 45,781

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Solution

The third proportional to 30,187 and 45,781 is: 69,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,187 : 45,781 = 45,781 : x
  2. Step 2: Convert to fraction form
    30,187/45,781 = 45,781/x
  3. Step 3: Cross multiply
    30,187x = 45,781 × 45,781
  4. Step 4: Simplify right side
    30,187x = 2,095,899,961
  5. Step 5: Solve for x
    x = 2,095,899,961/30,187
  6. Step 6: Final answer
    x = 69,430.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.