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Finding the Third Proportional to 302,190 and 645,867

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Solution

The third proportional to 302,190 and 645,867 is: 1,380,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,190 : 645,867 = 645,867 : x
  2. Step 2: Convert to fraction form
    302,190/645,867 = 645,867/x
  3. Step 3: Cross multiply
    302,190x = 645,867 × 645,867
  4. Step 4: Simplify right side
    302,190x = 417,144,181,689
  5. Step 5: Solve for x
    x = 417,144,181,689/302,190
  6. Step 6: Final answer
    x = 1,380,403.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.