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Finding the Third Proportional to 30,157 and 65,940

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Solution

The third proportional to 30,157 and 65,940 is: 144,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,157 : 65,940 = 65,940 : x
  2. Step 2: Convert to fraction form
    30,157/65,940 = 65,940/x
  3. Step 3: Cross multiply
    30,157x = 65,940 × 65,940
  4. Step 4: Simplify right side
    30,157x = 4,348,083,600
  5. Step 5: Solve for x
    x = 4,348,083,600/30,157
  6. Step 6: Final answer
    x = 144,181.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.