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Finding the Third Proportional to 142,809 and 310,200

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Solution

The third proportional to 142,809 and 310,200 is: 673,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,809 : 310,200 = 310,200 : x
  2. Step 2: Convert to fraction form
    142,809/310,200 = 310,200/x
  3. Step 3: Cross multiply
    142,809x = 310,200 × 310,200
  4. Step 4: Simplify right side
    142,809x = 96,224,040,000
  5. Step 5: Solve for x
    x = 96,224,040,000/142,809
  6. Step 6: Final answer
    x = 673,795.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.