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Finding the Third Proportional to 87,312 and 187,368

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Solution

The third proportional to 87,312 and 187,368 is: 402,084.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,312 : 187,368 = 187,368 : x
  2. Step 2: Convert to fraction form
    87,312/187,368 = 187,368/x
  3. Step 3: Cross multiply
    87,312x = 187,368 × 187,368
  4. Step 4: Simplify right side
    87,312x = 35,106,767,424
  5. Step 5: Solve for x
    x = 35,106,767,424/87,312
  6. Step 6: Final answer
    x = 402,084.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.