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Finding the Third Proportional to 142,054 and 212,102

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Solution

The third proportional to 142,054 and 212,102 is: 316,691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,054 : 212,102 = 212,102 : x
  2. Step 2: Convert to fraction form
    142,054/212,102 = 212,102/x
  3. Step 3: Cross multiply
    142,054x = 212,102 × 212,102
  4. Step 4: Simplify right side
    142,054x = 44,987,258,404
  5. Step 5: Solve for x
    x = 44,987,258,404/142,054
  6. Step 6: Final answer
    x = 316,691.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.