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Finding the Third Proportional to 86,358 and 187,476

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Solution

The third proportional to 86,358 and 187,476 is: 406,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,358 : 187,476 = 187,476 : x
  2. Step 2: Convert to fraction form
    86,358/187,476 = 187,476/x
  3. Step 3: Cross multiply
    86,358x = 187,476 × 187,476
  4. Step 4: Simplify right side
    86,358x = 35,147,250,576
  5. Step 5: Solve for x
    x = 35,147,250,576/86,358
  6. Step 6: Final answer
    x = 406,994.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.