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Finding the Third Proportional to 30,288 and 45,705

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Solution

The third proportional to 30,288 and 45,705 is: 68,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,288 : 45,705 = 45,705 : x
  2. Step 2: Convert to fraction form
    30,288/45,705 = 45,705/x
  3. Step 3: Cross multiply
    30,288x = 45,705 × 45,705
  4. Step 4: Simplify right side
    30,288x = 2,088,947,025
  5. Step 5: Solve for x
    x = 2,088,947,025/30,288
  6. Step 6: Final answer
    x = 68,969.46

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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.