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Finding the Third Proportional to 230,830 and 349,320

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Solution

The third proportional to 230,830 and 349,320 is: 528,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,830 : 349,320 = 349,320 : x
  2. Step 2: Convert to fraction form
    230,830/349,320 = 349,320/x
  3. Step 3: Cross multiply
    230,830x = 349,320 × 349,320
  4. Step 4: Simplify right side
    230,830x = 122,024,462,400
  5. Step 5: Solve for x
    x = 122,024,462,400/230,830
  6. Step 6: Final answer
    x = 528,633.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.