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Finding the Third Proportional to 51,918.47 and 122,490.98

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Solution

The third proportional to 51,918.47 and 122,490.98 is: 288,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,918.47 : 122,490.98 = 122,490.98 : x
  2. Step 2: Convert to fraction form
    51,918.47/122,490.98 = 122,490.98/x
  3. Step 3: Cross multiply
    51,918.47x = 122,490.98 × 122,490.98
  4. Step 4: Simplify right side
    51,918.47x = 15,004,041,253.16
  5. Step 5: Solve for x
    x = 15,004,041,253.16/51,918.47
  6. Step 6: Final answer
    x = 288,992.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.