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Finding the Third Proportional to 30,488 and 66,562

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Solution

The third proportional to 30,488 and 66,562 is: 145,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,488 : 66,562 = 66,562 : x
  2. Step 2: Convert to fraction form
    30,488/66,562 = 66,562/x
  3. Step 3: Cross multiply
    30,488x = 66,562 × 66,562
  4. Step 4: Simplify right side
    30,488x = 4,430,499,844
  5. Step 5: Solve for x
    x = 4,430,499,844/30,488
  6. Step 6: Final answer
    x = 145,319.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.