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Finding the Third Proportional to 212,006 and 286,905

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Solution

The third proportional to 212,006 and 286,905 is: 388,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,006 : 286,905 = 286,905 : x
  2. Step 2: Convert to fraction form
    212,006/286,905 = 286,905/x
  3. Step 3: Cross multiply
    212,006x = 286,905 × 286,905
  4. Step 4: Simplify right side
    212,006x = 82,314,479,025
  5. Step 5: Solve for x
    x = 82,314,479,025/212,006
  6. Step 6: Final answer
    x = 388,264.86

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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.