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Finding the Third Proportional to 86,276 and 188,572

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Solution

The third proportional to 86,276 and 188,572 is: 412,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,276 : 188,572 = 188,572 : x
  2. Step 2: Convert to fraction form
    86,276/188,572 = 188,572/x
  3. Step 3: Cross multiply
    86,276x = 188,572 × 188,572
  4. Step 4: Simplify right side
    86,276x = 35,559,399,184
  5. Step 5: Solve for x
    x = 35,559,399,184/86,276
  6. Step 6: Final answer
    x = 412,158.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.