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Finding the Third Proportional to 129,483 and 282,507

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Solution

The third proportional to 129,483 and 282,507 is: 616,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,483 : 282,507 = 282,507 : x
  2. Step 2: Convert to fraction form
    129,483/282,507 = 282,507/x
  3. Step 3: Cross multiply
    129,483x = 282,507 × 282,507
  4. Step 4: Simplify right side
    129,483x = 79,810,205,049
  5. Step 5: Solve for x
    x = 79,810,205,049/129,483
  6. Step 6: Final answer
    x = 616,375.93

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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.