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Finding the Third Proportional to 30,284 and 45,699

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Solution

The third proportional to 30,284 and 45,699 is: 68,960.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,284 : 45,699 = 45,699 : x
  2. Step 2: Convert to fraction form
    30,284/45,699 = 45,699/x
  3. Step 3: Cross multiply
    30,284x = 45,699 × 45,699
  4. Step 4: Simplify right side
    30,284x = 2,088,398,601
  5. Step 5: Solve for x
    x = 2,088,398,601/30,284
  6. Step 6: Final answer
    x = 68,960.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.