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Finding the Third Proportional to 30,835.13 and 67,376.81

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Solution

The third proportional to 30,835.13 and 67,376.81 is: 147,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,835.13 : 67,376.81 = 67,376.81 : x
  2. Step 2: Convert to fraction form
    30,835.13/67,376.81 = 67,376.81/x
  3. Step 3: Cross multiply
    30,835.13x = 67,376.81 × 67,376.81
  4. Step 4: Simplify right side
    30,835.13x = 4,539,634,862.66
  5. Step 5: Solve for x
    x = 4,539,634,862.66/30,835.13
  6. Step 6: Final answer
    x = 147,222.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.