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Finding the Third Proportional to 230,679 and 310,392

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Solution

The third proportional to 230,679 and 310,392 is: 417,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,679 : 310,392 = 310,392 : x
  2. Step 2: Convert to fraction form
    230,679/310,392 = 310,392/x
  3. Step 3: Cross multiply
    230,679x = 310,392 × 310,392
  4. Step 4: Simplify right side
    230,679x = 96,343,193,664
  5. Step 5: Solve for x
    x = 96,343,193,664/230,679
  6. Step 6: Final answer
    x = 417,650.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.