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Finding the Third Proportional to 30,339 and 65,646

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Solution

The third proportional to 30,339 and 65,646 is: 142,041.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,339 : 65,646 = 65,646 : x
  2. Step 2: Convert to fraction form
    30,339/65,646 = 65,646/x
  3. Step 3: Cross multiply
    30,339x = 65,646 × 65,646
  4. Step 4: Simplify right side
    30,339x = 4,309,397,316
  5. Step 5: Solve for x
    x = 4,309,397,316/30,339
  6. Step 6: Final answer
    x = 142,041.51

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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.