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Finding the Third Proportional to 157,710 and 236,331

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Solution

The third proportional to 157,710 and 236,331 is: 354,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,710 : 236,331 = 236,331 : x
  2. Step 2: Convert to fraction form
    157,710/236,331 = 236,331/x
  3. Step 3: Cross multiply
    157,710x = 236,331 × 236,331
  4. Step 4: Simplify right side
    157,710x = 55,852,341,561
  5. Step 5: Solve for x
    x = 55,852,341,561/157,710
  6. Step 6: Final answer
    x = 354,145.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.