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Finding the Third Proportional to 289,040 and 410,845

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Solution

The third proportional to 289,040 and 410,845 is: 583,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,040 : 410,845 = 410,845 : x
  2. Step 2: Convert to fraction form
    289,040/410,845 = 410,845/x
  3. Step 3: Cross multiply
    289,040x = 410,845 × 410,845
  4. Step 4: Simplify right side
    289,040x = 168,793,614,025
  5. Step 5: Solve for x
    x = 168,793,614,025/289,040
  6. Step 6: Final answer
    x = 583,980.12

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.