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Finding the Third Proportional to 157,869 and 243,031

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Solution

The third proportional to 157,869 and 243,031 is: 374,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,869 : 243,031 = 243,031 : x
  2. Step 2: Convert to fraction form
    157,869/243,031 = 243,031/x
  3. Step 3: Cross multiply
    157,869x = 243,031 × 243,031
  4. Step 4: Simplify right side
    157,869x = 59,064,066,961
  5. Step 5: Solve for x
    x = 59,064,066,961/157,869
  6. Step 6: Final answer
    x = 374,133.41

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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.