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Finding the Third Proportional to 77,742 and 163,317.38

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Solution

The third proportional to 77,742 and 163,317.38 is: 343,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,742 : 163,317.38 = 163,317.38 : x
  2. Step 2: Convert to fraction form
    77,742/163,317.38 = 163,317.38/x
  3. Step 3: Cross multiply
    77,742x = 163,317.38 × 163,317.38
  4. Step 4: Simplify right side
    77,742x = 26,672,564,976.89
  5. Step 5: Solve for x
    x = 26,672,564,976.89/77,742
  6. Step 6: Final answer
    x = 343,090.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.