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Finding the Third Proportional to 77,160 and 168,738

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Solution

The third proportional to 77,160 and 168,738 is: 369,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,160 : 168,738 = 168,738 : x
  2. Step 2: Convert to fraction form
    77,160/168,738 = 168,738/x
  3. Step 3: Cross multiply
    77,160x = 168,738 × 168,738
  4. Step 4: Simplify right side
    77,160x = 28,472,512,644
  5. Step 5: Solve for x
    x = 28,472,512,644/77,160
  6. Step 6: Final answer
    x = 369,006.13

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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.