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Finding the Third Proportional to 10,509,305 and 15,839,127

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Solution

The third proportional to 10,509,305 and 15,839,127 is: 23,871,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509,305 : 15,839,127 = 15,839,127 : x
  2. Step 2: Convert to fraction form
    10,509,305/15,839,127 = 15,839,127/x
  3. Step 3: Cross multiply
    10,509,305x = 15,839,127 × 15,839,127
  4. Step 4: Simplify right side
    10,509,305x = 250,877,944,122,129
  5. Step 5: Solve for x
    x = 250,877,944,122,129/10,509,305
  6. Step 6: Final answer
    x = 23,871,982.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.