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Finding the Third Proportional to 30,058 and 65,785

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Solution

The third proportional to 30,058 and 65,785 is: 143,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,058 : 65,785 = 65,785 : x
  2. Step 2: Convert to fraction form
    30,058/65,785 = 65,785/x
  3. Step 3: Cross multiply
    30,058x = 65,785 × 65,785
  4. Step 4: Simplify right side
    30,058x = 4,327,666,225
  5. Step 5: Solve for x
    x = 4,327,666,225/30,058
  6. Step 6: Final answer
    x = 143,977.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.