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Finding the Third Proportional to 77,688 and 169,956

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Solution

The third proportional to 77,688 and 169,956 is: 371,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,688 : 169,956 = 169,956 : x
  2. Step 2: Convert to fraction form
    77,688/169,956 = 169,956/x
  3. Step 3: Cross multiply
    77,688x = 169,956 × 169,956
  4. Step 4: Simplify right side
    77,688x = 28,885,041,936
  5. Step 5: Solve for x
    x = 28,885,041,936/77,688
  6. Step 6: Final answer
    x = 371,808.28

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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.