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Finding the Third Proportional to 151,320 and 212,071

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Solution

The third proportional to 151,320 and 212,071 is: 297,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,320 : 212,071 = 212,071 : x
  2. Step 2: Convert to fraction form
    151,320/212,071 = 212,071/x
  3. Step 3: Cross multiply
    151,320x = 212,071 × 212,071
  4. Step 4: Simplify right side
    151,320x = 44,974,109,041
  5. Step 5: Solve for x
    x = 44,974,109,041/151,320
  6. Step 6: Final answer
    x = 297,211.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.