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Finding the Third Proportional to 86,070 and 186,438

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Solution

The third proportional to 86,070 and 186,438 is: 403,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,070 : 186,438 = 186,438 : x
  2. Step 2: Convert to fraction form
    86,070/186,438 = 186,438/x
  3. Step 3: Cross multiply
    86,070x = 186,438 × 186,438
  4. Step 4: Simplify right side
    86,070x = 34,759,127,844
  5. Step 5: Solve for x
    x = 34,759,127,844/86,070
  6. Step 6: Final answer
    x = 403,847.19

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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.