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Finding the Third Proportional to 64,824,139.50 and 140,410,263

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Solution

The third proportional to 64,824,139.50 and 140,410,263 is: 304,131,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,824,139.50 : 140,410,263 = 140,410,263 : x
  2. Step 2: Convert to fraction form
    64,824,139.50/140,410,263 = 140,410,263/x
  3. Step 3: Cross multiply
    64,824,139.50x = 140,410,263 × 140,410,263
  4. Step 4: Simplify right side
    64,824,139.50x = 19,715,041,955,729,168
  5. Step 5: Solve for x
    x = 19,715,041,955,729,168/64,824,139.50
  6. Step 6: Final answer
    x = 304,131,178.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.