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Finding the Third Proportional to 163,782 and 358,116

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Solution

The third proportional to 163,782 and 358,116 is: 783,035.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,782 : 358,116 = 358,116 : x
  2. Step 2: Convert to fraction form
    163,782/358,116 = 358,116/x
  3. Step 3: Cross multiply
    163,782x = 358,116 × 358,116
  4. Step 4: Simplify right side
    163,782x = 128,247,069,456
  5. Step 5: Solve for x
    x = 128,247,069,456/163,782
  6. Step 6: Final answer
    x = 783,035.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.