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Finding the Third Proportional to 157,517 and 242,108.50

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Solution

The third proportional to 157,517 and 242,108.50 is: 372,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,517 : 242,108.50 = 242,108.50 : x
  2. Step 2: Convert to fraction form
    157,517/242,108.50 = 242,108.50/x
  3. Step 3: Cross multiply
    157,517x = 242,108.50 × 242,108.50
  4. Step 4: Simplify right side
    157,517x = 58,616,525,772.25
  5. Step 5: Solve for x
    x = 58,616,525,772.25/157,517
  6. Step 6: Final answer
    x = 372,128.25

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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.