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Finding the Third Proportional to 13,259,781 and 19,808,009.26

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Solution

The third proportional to 13,259,781 and 19,808,009.26 is: 29,590,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,259,781 : 19,808,009.26 = 19,808,009.26 : x
  2. Step 2: Convert to fraction form
    13,259,781/19,808,009.26 = 19,808,009.26/x
  3. Step 3: Cross multiply
    13,259,781x = 19,808,009.26 × 19,808,009.26
  4. Step 4: Simplify right side
    13,259,781x = 392,357,230,912,345.69
  5. Step 5: Solve for x
    x = 392,357,230,912,345.69/13,259,781
  6. Step 6: Final answer
    x = 29,590,023.46

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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.