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Finding the Third Proportional to 310,422 and 459,810

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Solution

The third proportional to 310,422 and 459,810 is: 681,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,422 : 459,810 = 459,810 : x
  2. Step 2: Convert to fraction form
    310,422/459,810 = 459,810/x
  3. Step 3: Cross multiply
    310,422x = 459,810 × 459,810
  4. Step 4: Simplify right side
    310,422x = 211,425,236,100
  5. Step 5: Solve for x
    x = 211,425,236,100/310,422
  6. Step 6: Final answer
    x = 681,089.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.