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Finding the Third Proportional to 30,080 and 65,355

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Solution

The third proportional to 30,080 and 65,355 is: 141,997.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,080 : 65,355 = 65,355 : x
  2. Step 2: Convert to fraction form
    30,080/65,355 = 65,355/x
  3. Step 3: Cross multiply
    30,080x = 65,355 × 65,355
  4. Step 4: Simplify right side
    30,080x = 4,271,276,025
  5. Step 5: Solve for x
    x = 4,271,276,025/30,080
  6. Step 6: Final answer
    x = 141,997.21

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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.