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Finding the Third Proportional to 143,019 and 282,447

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Solution

The third proportional to 143,019 and 282,447 is: 557,802.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,019 : 282,447 = 282,447 : x
  2. Step 2: Convert to fraction form
    143,019/282,447 = 282,447/x
  3. Step 3: Cross multiply
    143,019x = 282,447 × 282,447
  4. Step 4: Simplify right side
    143,019x = 79,776,307,809
  5. Step 5: Solve for x
    x = 79,776,307,809/143,019
  6. Step 6: Final answer
    x = 557,802.16

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.