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Finding the Third Proportional to 142,738 and 310,900

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Solution

The third proportional to 142,738 and 310,900 is: 677,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,738 : 310,900 = 310,900 : x
  2. Step 2: Convert to fraction form
    142,738/310,900 = 310,900/x
  3. Step 3: Cross multiply
    142,738x = 310,900 × 310,900
  4. Step 4: Simplify right side
    142,738x = 96,658,810,000
  5. Step 5: Solve for x
    x = 96,658,810,000/142,738
  6. Step 6: Final answer
    x = 677,176.44

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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.