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Finding the Third Proportional to 30,078 and 65,502

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Solution

The third proportional to 30,078 and 65,502 is: 142,646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078 : 65,502 = 65,502 : x
  2. Step 2: Convert to fraction form
    30,078/65,502 = 65,502/x
  3. Step 3: Cross multiply
    30,078x = 65,502 × 65,502
  4. Step 4: Simplify right side
    30,078x = 4,290,512,004
  5. Step 5: Solve for x
    x = 4,290,512,004/30,078
  6. Step 6: Final answer
    x = 142,646.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.