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Finding the Third Proportional to 86,358 and 133,228

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Solution

The third proportional to 86,358 and 133,228 is: 205,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,358 : 133,228 = 133,228 : x
  2. Step 2: Convert to fraction form
    86,358/133,228 = 133,228/x
  3. Step 3: Cross multiply
    86,358x = 133,228 × 133,228
  4. Step 4: Simplify right side
    86,358x = 17,749,699,984
  5. Step 5: Solve for x
    x = 17,749,699,984/86,358
  6. Step 6: Final answer
    x = 205,536.26

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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.