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Finding the Third Proportional to 230,706 and 310,419

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Solution

The third proportional to 230,706 and 310,419 is: 417,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,706 : 310,419 = 310,419 : x
  2. Step 2: Convert to fraction form
    230,706/310,419 = 310,419/x
  3. Step 3: Cross multiply
    230,706x = 310,419 × 310,419
  4. Step 4: Simplify right side
    230,706x = 96,359,955,561
  5. Step 5: Solve for x
    x = 96,359,955,561/230,706
  6. Step 6: Final answer
    x = 417,674.25

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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.