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Finding the Third Proportional to 12,531,380.50 and 19,939,889.50

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Solution

The third proportional to 12,531,380.50 and 19,939,889.50 is: 31,728,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,531,380.50 : 19,939,889.50 = 19,939,889.50 : x
  2. Step 2: Convert to fraction form
    12,531,380.50/19,939,889.50 = 19,939,889.50/x
  3. Step 3: Cross multiply
    12,531,380.50x = 19,939,889.50 × 19,939,889.50
  4. Step 4: Simplify right side
    12,531,380.50x = 397,599,193,272,210.25
  5. Step 5: Solve for x
    x = 397,599,193,272,210.25/12,531,380.50
  6. Step 6: Final answer
    x = 31,728,283.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.