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Finding the Third Proportional to 123,411,162 and 256,388,197.50

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Solution

The third proportional to 123,411,162 and 256,388,197.50 is: 532,649,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,411,162 : 256,388,197.50 = 256,388,197.50 : x
  2. Step 2: Convert to fraction form
    123,411,162/256,388,197.50 = 256,388,197.50/x
  3. Step 3: Cross multiply
    123,411,162x = 256,388,197.50 × 256,388,197.50
  4. Step 4: Simplify right side
    123,411,162x = 65,734,907,817,299,008
  5. Step 5: Solve for x
    x = 65,734,907,817,299,008/123,411,162
  6. Step 6: Final answer
    x = 532,649,614.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.