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Finding the Third Proportional to 57,378,678.75 and 86,236,180.88

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Solution

The third proportional to 57,378,678.75 and 86,236,180.88 is: 129,607,008.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,378,678.75 : 86,236,180.88 = 86,236,180.88 : x
  2. Step 2: Convert to fraction form
    57,378,678.75/86,236,180.88 = 86,236,180.88/x
  3. Step 3: Cross multiply
    57,378,678.75x = 86,236,180.88 × 86,236,180.88
  4. Step 4: Simplify right side
    57,378,678.75x = 7,436,678,891,905,716
  5. Step 5: Solve for x
    x = 7,436,678,891,905,716/57,378,678.75
  6. Step 6: Final answer
    x = 129,607,008.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.