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Finding the Third Proportional to 77,420.81 and 113,142.66

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Solution

The third proportional to 77,420.81 and 113,142.66 is: 165,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,420.81 : 113,142.66 = 113,142.66 : x
  2. Step 2: Convert to fraction form
    77,420.81/113,142.66 = 113,142.66/x
  3. Step 3: Cross multiply
    77,420.81x = 113,142.66 × 113,142.66
  4. Step 4: Simplify right side
    77,420.81x = 12,801,260,663.31
  5. Step 5: Solve for x
    x = 12,801,260,663.31/77,420.81
  6. Step 6: Final answer
    x = 165,346.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.