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Finding the Third Proportional to 12,686,469.75 and 19,327,119.75

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Solution

The third proportional to 12,686,469.75 and 19,327,119.75 is: 29,443,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,686,469.75 : 19,327,119.75 = 19,327,119.75 : x
  2. Step 2: Convert to fraction form
    12,686,469.75/19,327,119.75 = 19,327,119.75/x
  3. Step 3: Cross multiply
    12,686,469.75x = 19,327,119.75 × 19,327,119.75
  4. Step 4: Simplify right side
    12,686,469.75x = 373,537,557,830,840.06
  5. Step 5: Solve for x
    x = 373,537,557,830,840.06/12,686,469.75
  6. Step 6: Final answer
    x = 29,443,774.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.