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Finding the Third Proportional to 157,815 and 212,625

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Solution

The third proportional to 157,815 and 212,625 is: 286,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,815 : 212,625 = 212,625 : x
  2. Step 2: Convert to fraction form
    157,815/212,625 = 212,625/x
  3. Step 3: Cross multiply
    157,815x = 212,625 × 212,625
  4. Step 4: Simplify right side
    157,815x = 45,209,390,625
  5. Step 5: Solve for x
    x = 45,209,390,625/157,815
  6. Step 6: Final answer
    x = 286,470.81

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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.