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Finding the Third Proportional to 30,378.38 and 63,176.63

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Solution

The third proportional to 30,378.38 and 63,176.63 is: 131,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.38 : 63,176.63 = 63,176.63 : x
  2. Step 2: Convert to fraction form
    30,378.38/63,176.63 = 63,176.63/x
  3. Step 3: Cross multiply
    30,378.38x = 63,176.63 × 63,176.63
  4. Step 4: Simplify right side
    30,378.38x = 3,991,285,946.39
  5. Step 5: Solve for x
    x = 3,991,285,946.39/30,378.38
  6. Step 6: Final answer
    x = 131,385.76

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.