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Finding the Third Proportional to 30,520 and 62,998

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Solution

The third proportional to 30,520 and 62,998 is: 130,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,520 : 62,998 = 62,998 : x
  2. Step 2: Convert to fraction form
    30,520/62,998 = 62,998/x
  3. Step 3: Cross multiply
    30,520x = 62,998 × 62,998
  4. Step 4: Simplify right side
    30,520x = 3,968,748,004
  5. Step 5: Solve for x
    x = 3,968,748,004/30,520
  6. Step 6: Final answer
    x = 130,037.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.