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Finding the Third Proportional to 163,123.50 and 358,161

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Solution

The third proportional to 163,123.50 and 358,161 is: 786,393.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,123.50 : 358,161 = 358,161 : x
  2. Step 2: Convert to fraction form
    163,123.50/358,161 = 358,161/x
  3. Step 3: Cross multiply
    163,123.50x = 358,161 × 358,161
  4. Step 4: Simplify right side
    163,123.50x = 128,279,301,921
  5. Step 5: Solve for x
    x = 128,279,301,921/163,123.50
  6. Step 6: Final answer
    x = 786,393.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.