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Finding the Third Proportional to 131,411 and 282,505

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Solution

The third proportional to 131,411 and 282,505 is: 607,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,411 : 282,505 = 282,505 : x
  2. Step 2: Convert to fraction form
    131,411/282,505 = 282,505/x
  3. Step 3: Cross multiply
    131,411x = 282,505 × 282,505
  4. Step 4: Simplify right side
    131,411x = 79,809,075,025
  5. Step 5: Solve for x
    x = 79,809,075,025/131,411
  6. Step 6: Final answer
    x = 607,324.16

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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.