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Finding the Third Proportional to 30,525 and 65,431

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Solution

The third proportional to 30,525 and 65,431 is: 140,252.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,525 : 65,431 = 65,431 : x
  2. Step 2: Convert to fraction form
    30,525/65,431 = 65,431/x
  3. Step 3: Cross multiply
    30,525x = 65,431 × 65,431
  4. Step 4: Simplify right side
    30,525x = 4,281,215,761
  5. Step 5: Solve for x
    x = 4,281,215,761/30,525
  6. Step 6: Final answer
    x = 140,252.77

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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.