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Finding the Third Proportional to 31,987,881.09 and 69,072,887.91

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Solution

The third proportional to 31,987,881.09 and 69,072,887.91 is: 149,152,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,987,881.09 : 69,072,887.91 = 69,072,887.91 : x
  2. Step 2: Convert to fraction form
    31,987,881.09/69,072,887.91 = 69,072,887.91/x
  3. Step 3: Cross multiply
    31,987,881.09x = 69,072,887.91 × 69,072,887.91
  4. Step 4: Simplify right side
    31,987,881.09x = 4,771,063,843,709,378
  5. Step 5: Solve for x
    x = 4,771,063,843,709,378/31,987,881.09
  6. Step 6: Final answer
    x = 149,152,231.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.