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Finding the Third Proportional to 142,730 and 310,885

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Solution

The third proportional to 142,730 and 310,885 is: 677,149.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,730 : 310,885 = 310,885 : x
  2. Step 2: Convert to fraction form
    142,730/310,885 = 310,885/x
  3. Step 3: Cross multiply
    142,730x = 310,885 × 310,885
  4. Step 4: Simplify right side
    142,730x = 96,649,483,225
  5. Step 5: Solve for x
    x = 96,649,483,225/142,730
  6. Step 6: Final answer
    x = 677,149.05

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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.