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Finding the Third Proportional to 87,435 and 187,335

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Solution

The third proportional to 87,435 and 187,335 is: 401,377.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,435 : 187,335 = 187,335 : x
  2. Step 2: Convert to fraction form
    87,435/187,335 = 187,335/x
  3. Step 3: Cross multiply
    87,435x = 187,335 × 187,335
  4. Step 4: Simplify right side
    87,435x = 35,094,402,225
  5. Step 5: Solve for x
    x = 35,094,402,225/87,435
  6. Step 6: Final answer
    x = 401,377.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.