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Finding the Third Proportional to 214,439 and 315,420

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Solution

The third proportional to 214,439 and 315,420 is: 463,953.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,439 : 315,420 = 315,420 : x
  2. Step 2: Convert to fraction form
    214,439/315,420 = 315,420/x
  3. Step 3: Cross multiply
    214,439x = 315,420 × 315,420
  4. Step 4: Simplify right side
    214,439x = 99,489,776,400
  5. Step 5: Solve for x
    x = 99,489,776,400/214,439
  6. Step 6: Final answer
    x = 463,953.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.