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Finding the Third Proportional to 123,411,172 and 256,388,218

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Solution

The third proportional to 123,411,172 and 256,388,218 is: 532,649,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,411,172 : 256,388,218 = 256,388,218 : x
  2. Step 2: Convert to fraction form
    123,411,172/256,388,218 = 256,388,218/x
  3. Step 3: Cross multiply
    123,411,172x = 256,388,218 × 256,388,218
  4. Step 4: Simplify right side
    123,411,172x = 65,734,918,329,215,520
  5. Step 5: Solve for x
    x = 65,734,918,329,215,520/123,411,172
  6. Step 6: Final answer
    x = 532,649,656.14

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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.