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Finding the Third Proportional to 123,760,354.50 and 262,273,663.13

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Solution

The third proportional to 123,760,354.50 and 262,273,663.13 is: 555,811,872.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,760,354.50 : 262,273,663.13 = 262,273,663.13 : x
  2. Step 2: Convert to fraction form
    123,760,354.50/262,273,663.13 = 262,273,663.13/x
  3. Step 3: Cross multiply
    123,760,354.50x = 262,273,663.13 × 262,273,663.13
  4. Step 4: Simplify right side
    123,760,354.50x = 68,787,474,369,005,984
  5. Step 5: Solve for x
    x = 68,787,474,369,005,984/123,760,354.50
  6. Step 6: Final answer
    x = 555,811,872.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.