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Finding the Third Proportional to 86,323.50 and 178,641

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Solution

The third proportional to 86,323.50 and 178,641 is: 369,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,323.50 : 178,641 = 178,641 : x
  2. Step 2: Convert to fraction form
    86,323.50/178,641 = 178,641/x
  3. Step 3: Cross multiply
    86,323.50x = 178,641 × 178,641
  4. Step 4: Simplify right side
    86,323.50x = 31,912,606,881
  5. Step 5: Solve for x
    x = 31,912,606,881/86,323.50
  6. Step 6: Final answer
    x = 369,686.20

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.