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Finding the Third Proportional to 212,051 and 457,314.50

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Solution

The third proportional to 212,051 and 457,314.50 is: 986,255.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,051 : 457,314.50 = 457,314.50 : x
  2. Step 2: Convert to fraction form
    212,051/457,314.50 = 457,314.50/x
  3. Step 3: Cross multiply
    212,051x = 457,314.50 × 457,314.50
  4. Step 4: Simplify right side
    212,051x = 209,136,551,910.25
  5. Step 5: Solve for x
    x = 209,136,551,910.25/212,051
  6. Step 6: Final answer
    x = 986,255.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.