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Finding the Third Proportional to 138,544,165.50 and 299,054,557.50

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Solution

The third proportional to 138,544,165.50 and 299,054,557.50 is: 645,524,320.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,544,165.50 : 299,054,557.50 = 299,054,557.50 : x
  2. Step 2: Convert to fraction form
    138,544,165.50/299,054,557.50 = 299,054,557.50/x
  3. Step 3: Cross multiply
    138,544,165.50x = 299,054,557.50 × 299,054,557.50
  4. Step 4: Simplify right side
    138,544,165.50x = 89,433,628,361,520,800
  5. Step 5: Solve for x
    x = 89,433,628,361,520,800/138,544,165.50
  6. Step 6: Final answer
    x = 645,524,320.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.