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Finding the Third Proportional to 34,115,654 and 80,535,484

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Solution

The third proportional to 34,115,654 and 80,535,484 is: 190,116,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,115,654 : 80,535,484 = 80,535,484 : x
  2. Step 2: Convert to fraction form
    34,115,654/80,535,484 = 80,535,484/x
  3. Step 3: Cross multiply
    34,115,654x = 80,535,484 × 80,535,484
  4. Step 4: Simplify right side
    34,115,654x = 6,485,964,183,114,256
  5. Step 5: Solve for x
    x = 6,485,964,183,114,256/34,115,654
  6. Step 6: Final answer
    x = 190,116,952.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.