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Finding the Third Proportional to 86,570 and 186,292

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Solution

The third proportional to 86,570 and 186,292 is: 400,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,570 : 186,292 = 186,292 : x
  2. Step 2: Convert to fraction form
    86,570/186,292 = 186,292/x
  3. Step 3: Cross multiply
    86,570x = 186,292 × 186,292
  4. Step 4: Simplify right side
    86,570x = 34,704,709,264
  5. Step 5: Solve for x
    x = 34,704,709,264/86,570
  6. Step 6: Final answer
    x = 400,886.10

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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.