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Finding the Third Proportional to 86,412 and 175,896

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Solution

The third proportional to 86,412 and 175,896 is: 358,045.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,412 : 175,896 = 175,896 : x
  2. Step 2: Convert to fraction form
    86,412/175,896 = 175,896/x
  3. Step 3: Cross multiply
    86,412x = 175,896 × 175,896
  4. Step 4: Simplify right side
    86,412x = 30,939,402,816
  5. Step 5: Solve for x
    x = 30,939,402,816/86,412
  6. Step 6: Final answer
    x = 358,045.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.