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Finding the Third Proportional to 289,038 and 410,842

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Solution

The third proportional to 289,038 and 410,842 is: 583,975.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,038 : 410,842 = 410,842 : x
  2. Step 2: Convert to fraction form
    289,038/410,842 = 410,842/x
  3. Step 3: Cross multiply
    289,038x = 410,842 × 410,842
  4. Step 4: Simplify right side
    289,038x = 168,791,148,964
  5. Step 5: Solve for x
    x = 168,791,148,964/289,038
  6. Step 6: Final answer
    x = 583,975.63

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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.