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Finding the Third Proportional to 152,270 and 242,485

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Solution

The third proportional to 152,270 and 242,485 is: 386,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,270 : 242,485 = 242,485 : x
  2. Step 2: Convert to fraction form
    152,270/242,485 = 242,485/x
  3. Step 3: Cross multiply
    152,270x = 242,485 × 242,485
  4. Step 4: Simplify right side
    152,270x = 58,798,975,225
  5. Step 5: Solve for x
    x = 58,798,975,225/152,270
  6. Step 6: Final answer
    x = 386,149.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.