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Finding the Third Proportional to 149,408 and 310,720

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Solution

The third proportional to 149,408 and 310,720 is: 646,196.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,408 : 310,720 = 310,720 : x
  2. Step 2: Convert to fraction form
    149,408/310,720 = 310,720/x
  3. Step 3: Cross multiply
    149,408x = 310,720 × 310,720
  4. Step 4: Simplify right side
    149,408x = 96,546,918,400
  5. Step 5: Solve for x
    x = 96,546,918,400/149,408
  6. Step 6: Final answer
    x = 646,196.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.