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Finding the Third Proportional to 77,360 and 168,810

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Solution

The third proportional to 77,360 and 168,810 is: 368,366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,360 : 168,810 = 168,810 : x
  2. Step 2: Convert to fraction form
    77,360/168,810 = 168,810/x
  3. Step 3: Cross multiply
    77,360x = 168,810 × 168,810
  4. Step 4: Simplify right side
    77,360x = 28,496,816,100
  5. Step 5: Solve for x
    x = 28,496,816,100/77,360
  6. Step 6: Final answer
    x = 368,366.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.