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Finding the Third Proportional to 30,539 and 62,577

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Solution

The third proportional to 30,539 and 62,577 is: 128,225.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,539 : 62,577 = 62,577 : x
  2. Step 2: Convert to fraction form
    30,539/62,577 = 62,577/x
  3. Step 3: Cross multiply
    30,539x = 62,577 × 62,577
  4. Step 4: Simplify right side
    30,539x = 3,915,880,929
  5. Step 5: Solve for x
    x = 3,915,880,929/30,539
  6. Step 6: Final answer
    x = 128,225.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.