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Finding the Third Proportional to 157,538 and 328,360

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Solution

The third proportional to 157,538 and 328,360 is: 684,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,538 : 328,360 = 328,360 : x
  2. Step 2: Convert to fraction form
    157,538/328,360 = 328,360/x
  3. Step 3: Cross multiply
    157,538x = 328,360 × 328,360
  4. Step 4: Simplify right side
    157,538x = 107,820,289,600
  5. Step 5: Solve for x
    x = 107,820,289,600/157,538
  6. Step 6: Final answer
    x = 684,408.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.