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Finding the Third Proportional to 214,610 and 315,331

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Solution

The third proportional to 214,610 and 315,331 is: 463,322.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,610 : 315,331 = 315,331 : x
  2. Step 2: Convert to fraction form
    214,610/315,331 = 315,331/x
  3. Step 3: Cross multiply
    214,610x = 315,331 × 315,331
  4. Step 4: Simplify right side
    214,610x = 99,433,639,561
  5. Step 5: Solve for x
    x = 99,433,639,561/214,610
  6. Step 6: Final answer
    x = 463,322.49

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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.