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Finding the Third Proportional to 142,893 and 313,803

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Solution

The third proportional to 142,893 and 313,803 is: 689,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,893 : 313,803 = 313,803 : x
  2. Step 2: Convert to fraction form
    142,893/313,803 = 313,803/x
  3. Step 3: Cross multiply
    142,893x = 313,803 × 313,803
  4. Step 4: Simplify right side
    142,893x = 98,472,322,809
  5. Step 5: Solve for x
    x = 98,472,322,809/142,893
  6. Step 6: Final answer
    x = 689,133.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.