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Finding the Third Proportional to 162,729 and 354,374

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Solution

The third proportional to 162,729 and 354,374 is: 771,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,729 : 354,374 = 354,374 : x
  2. Step 2: Convert to fraction form
    162,729/354,374 = 354,374/x
  3. Step 3: Cross multiply
    162,729x = 354,374 × 354,374
  4. Step 4: Simplify right side
    162,729x = 125,580,931,876
  5. Step 5: Solve for x
    x = 125,580,931,876/162,729
  6. Step 6: Final answer
    x = 771,718.21

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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.