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Finding the Third Proportional to 298,574 and 462,285

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Solution

The third proportional to 298,574 and 462,285 is: 715,760.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,574 : 462,285 = 462,285 : x
  2. Step 2: Convert to fraction form
    298,574/462,285 = 462,285/x
  3. Step 3: Cross multiply
    298,574x = 462,285 × 462,285
  4. Step 4: Simplify right side
    298,574x = 213,707,421,225
  5. Step 5: Solve for x
    x = 213,707,421,225/298,574
  6. Step 6: Final answer
    x = 715,760.32

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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.