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Finding the Third Proportional to 163,109.50 and 358,295

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Solution

The third proportional to 163,109.50 and 358,295 is: 787,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,109.50 : 358,295 = 358,295 : x
  2. Step 2: Convert to fraction form
    163,109.50/358,295 = 358,295/x
  3. Step 3: Cross multiply
    163,109.50x = 358,295 × 358,295
  4. Step 4: Simplify right side
    163,109.50x = 128,375,307,025
  5. Step 5: Solve for x
    x = 128,375,307,025/163,109.50
  6. Step 6: Final answer
    x = 787,049.85

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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.