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Finding the Third Proportional to 13,285,215.75 and 19,858,659.75

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Solution

The third proportional to 13,285,215.75 and 19,858,659.75 is: 29,684,603.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,285,215.75 : 19,858,659.75 = 19,858,659.75 : x
  2. Step 2: Convert to fraction form
    13,285,215.75/19,858,659.75 = 19,858,659.75/x
  3. Step 3: Cross multiply
    13,285,215.75x = 19,858,659.75 × 19,858,659.75
  4. Step 4: Simplify right side
    13,285,215.75x = 394,366,367,066,270.06
  5. Step 5: Solve for x
    x = 394,366,367,066,270.06/13,285,215.75
  6. Step 6: Final answer
    x = 29,684,603.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.