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Finding the Third Proportional to 486.95 and 1,058.38

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Solution

The third proportional to 486.95 and 1,058.38 is: 2,300.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.95 : 1,058.38 = 1,058.38 : x
  2. Step 2: Convert to fraction form
    486.95/1,058.38 = 1,058.38/x
  3. Step 3: Cross multiply
    486.95x = 1,058.38 × 1,058.38
  4. Step 4: Simplify right side
    486.95x = 1,120,165.91
  5. Step 5: Solve for x
    x = 1,120,165.91/486.95
  6. Step 6: Final answer
    x = 2,300.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.