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Finding the Third Proportional to 145,830 and 225,309

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Solution

The third proportional to 145,830 and 225,309 is: 348,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830 : 225,309 = 225,309 : x
  2. Step 2: Convert to fraction form
    145,830/225,309 = 225,309/x
  3. Step 3: Cross multiply
    145,830x = 225,309 × 225,309
  4. Step 4: Simplify right side
    145,830x = 50,764,145,481
  5. Step 5: Solve for x
    x = 50,764,145,481/145,830
  6. Step 6: Final answer
    x = 348,104.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.