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Finding the Third Proportional to 142,750 and 310,924

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Solution

The third proportional to 142,750 and 310,924 is: 677,224.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,750 : 310,924 = 310,924 : x
  2. Step 2: Convert to fraction form
    142,750/310,924 = 310,924/x
  3. Step 3: Cross multiply
    142,750x = 310,924 × 310,924
  4. Step 4: Simplify right side
    142,750x = 96,673,733,776
  5. Step 5: Solve for x
    x = 96,673,733,776/142,750
  6. Step 6: Final answer
    x = 677,224.05

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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.