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Finding the Third Proportional to 211,296 and 315,840

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Solution

The third proportional to 211,296 and 315,840 is: 472,109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,296 : 315,840 = 315,840 : x
  2. Step 2: Convert to fraction form
    211,296/315,840 = 315,840/x
  3. Step 3: Cross multiply
    211,296x = 315,840 × 315,840
  4. Step 4: Simplify right side
    211,296x = 99,754,905,600
  5. Step 5: Solve for x
    x = 99,754,905,600/211,296
  6. Step 6: Final answer
    x = 472,109.77

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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.