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Finding the Third Proportional to 77,343.50 and 163,838.50

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Solution

The third proportional to 77,343.50 and 163,838.50 is: 347,062.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,343.50 : 163,838.50 = 163,838.50 : x
  2. Step 2: Convert to fraction form
    77,343.50/163,838.50 = 163,838.50/x
  3. Step 3: Cross multiply
    77,343.50x = 163,838.50 × 163,838.50
  4. Step 4: Simplify right side
    77,343.50x = 26,843,054,082.25
  5. Step 5: Solve for x
    x = 26,843,054,082.25/77,343.50
  6. Step 6: Final answer
    x = 347,062.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.