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Finding the Third Proportional to 298,543 and 439,006

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Solution

The third proportional to 298,543 and 439,006 is: 645,556.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,543 : 439,006 = 439,006 : x
  2. Step 2: Convert to fraction form
    298,543/439,006 = 439,006/x
  3. Step 3: Cross multiply
    298,543x = 439,006 × 439,006
  4. Step 4: Simplify right side
    298,543x = 192,726,268,036
  5. Step 5: Solve for x
    x = 192,726,268,036/298,543
  6. Step 6: Final answer
    x = 645,556.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.