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Finding the Third Proportional to 157,826 and 212,641

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Solution

The third proportional to 157,826 and 212,641 is: 286,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,826 : 212,641 = 212,641 : x
  2. Step 2: Convert to fraction form
    157,826/212,641 = 212,641/x
  3. Step 3: Cross multiply
    157,826x = 212,641 × 212,641
  4. Step 4: Simplify right side
    157,826x = 45,216,194,881
  5. Step 5: Solve for x
    x = 45,216,194,881/157,826
  6. Step 6: Final answer
    x = 286,493.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.