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Finding the Third Proportional to 164,520 and 354,408

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Solution

The third proportional to 164,520 and 354,408 is: 763,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,520 : 354,408 = 354,408 : x
  2. Step 2: Convert to fraction form
    164,520/354,408 = 354,408/x
  3. Step 3: Cross multiply
    164,520x = 354,408 × 354,408
  4. Step 4: Simplify right side
    164,520x = 125,605,030,464
  5. Step 5: Solve for x
    x = 125,605,030,464/164,520
  6. Step 6: Final answer
    x = 763,463.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.