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Finding the Third Proportional to 76,818.38 and 157,433.63

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Solution

The third proportional to 76,818.38 and 157,433.63 is: 322,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,818.38 : 157,433.63 = 157,433.63 : x
  2. Step 2: Convert to fraction form
    76,818.38/157,433.63 = 157,433.63/x
  3. Step 3: Cross multiply
    76,818.38x = 157,433.63 × 157,433.63
  4. Step 4: Simplify right side
    76,818.38x = 24,785,346,280.64
  5. Step 5: Solve for x
    x = 24,785,346,280.64/76,818.38
  6. Step 6: Final answer
    x = 322,648.67

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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.