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Finding the Third Proportional to 30,058 and 64,286

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Solution

The third proportional to 30,058 and 64,286 is: 137,490.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,058 : 64,286 = 64,286 : x
  2. Step 2: Convert to fraction form
    30,058/64,286 = 64,286/x
  3. Step 3: Cross multiply
    30,058x = 64,286 × 64,286
  4. Step 4: Simplify right side
    30,058x = 4,132,689,796
  5. Step 5: Solve for x
    x = 4,132,689,796/30,058
  6. Step 6: Final answer
    x = 137,490.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.