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Finding the Third Proportional to 123,760,300.50 and 262,273,555.50

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Solution

The third proportional to 123,760,300.50 and 262,273,555.50 is: 555,811,658.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,760,300.50 : 262,273,555.50 = 262,273,555.50 : x
  2. Step 2: Convert to fraction form
    123,760,300.50/262,273,555.50 = 262,273,555.50/x
  3. Step 3: Cross multiply
    123,760,300.50x = 262,273,555.50 × 262,273,555.50
  4. Step 4: Simplify right side
    123,760,300.50x = 68,787,417,914,611,584
  5. Step 5: Solve for x
    x = 68,787,417,914,611,584/123,760,300.50
  6. Step 6: Final answer
    x = 555,811,658.80

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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.