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Finding the Third Proportional to 30,389 and 65,638

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Solution

The third proportional to 30,389 and 65,638 is: 141,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,389 : 65,638 = 65,638 : x
  2. Step 2: Convert to fraction form
    30,389/65,638 = 65,638/x
  3. Step 3: Cross multiply
    30,389x = 65,638 × 65,638
  4. Step 4: Simplify right side
    30,389x = 4,308,347,044
  5. Step 5: Solve for x
    x = 4,308,347,044/30,389
  6. Step 6: Final answer
    x = 141,773.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.