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Finding the Third Proportional to 78,823,756 and 169,299,036

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Solution

The third proportional to 78,823,756 and 169,299,036 is: 363,623,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,823,756 : 169,299,036 = 169,299,036 : x
  2. Step 2: Convert to fraction form
    78,823,756/169,299,036 = 169,299,036/x
  3. Step 3: Cross multiply
    78,823,756x = 169,299,036 × 169,299,036
  4. Step 4: Simplify right side
    78,823,756x = 28,662,163,590,529,296
  5. Step 5: Solve for x
    x = 28,662,163,590,529,296/78,823,756
  6. Step 6: Final answer
    x = 363,623,418.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.