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Finding the Third Proportional to 12,613,486.50 and 19,487,634.75

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Solution

The third proportional to 12,613,486.50 and 19,487,634.75 is: 30,108,083.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613,486.50 : 19,487,634.75 = 19,487,634.75 : x
  2. Step 2: Convert to fraction form
    12,613,486.50/19,487,634.75 = 19,487,634.75/x
  3. Step 3: Cross multiply
    12,613,486.50x = 19,487,634.75 × 19,487,634.75
  4. Step 4: Simplify right side
    12,613,486.50x = 379,767,908,149,407.56
  5. Step 5: Solve for x
    x = 379,767,908,149,407.56/12,613,486.50
  6. Step 6: Final answer
    x = 30,108,083.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.