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Finding the Third Proportional to 162,408 and 354,330

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Solution

The third proportional to 162,408 and 354,330 is: 773,051.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,408 : 354,330 = 354,330 : x
  2. Step 2: Convert to fraction form
    162,408/354,330 = 354,330/x
  3. Step 3: Cross multiply
    162,408x = 354,330 × 354,330
  4. Step 4: Simplify right side
    162,408x = 125,549,748,900
  5. Step 5: Solve for x
    x = 125,549,748,900/162,408
  6. Step 6: Final answer
    x = 773,051.51

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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.