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Finding the Third Proportional to 86,024 and 202,395.50

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Solution

The third proportional to 86,024 and 202,395.50 is: 476,191.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,024 : 202,395.50 = 202,395.50 : x
  2. Step 2: Convert to fraction form
    86,024/202,395.50 = 202,395.50/x
  3. Step 3: Cross multiply
    86,024x = 202,395.50 × 202,395.50
  4. Step 4: Simplify right side
    86,024x = 40,963,938,420.25
  5. Step 5: Solve for x
    x = 40,963,938,420.25/86,024
  6. Step 6: Final answer
    x = 476,191.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.