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Finding the Third Proportional to 129,714 and 282,153

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Solution

The third proportional to 129,714 and 282,153 is: 613,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,714 : 282,153 = 282,153 : x
  2. Step 2: Convert to fraction form
    129,714/282,153 = 282,153/x
  3. Step 3: Cross multiply
    129,714x = 282,153 × 282,153
  4. Step 4: Simplify right side
    129,714x = 79,610,315,409
  5. Step 5: Solve for x
    x = 79,610,315,409/129,714
  6. Step 6: Final answer
    x = 613,737.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.