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Finding the Third Proportional to 163,115 and 358,306

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Solution

The third proportional to 163,115 and 358,306 is: 787,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,115 : 358,306 = 358,306 : x
  2. Step 2: Convert to fraction form
    163,115/358,306 = 358,306/x
  3. Step 3: Cross multiply
    163,115x = 358,306 × 358,306
  4. Step 4: Simplify right side
    163,115x = 128,383,189,636
  5. Step 5: Solve for x
    x = 128,383,189,636/163,115
  6. Step 6: Final answer
    x = 787,071.63

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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.