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Finding the Third Proportional to 290,842 and 623,156

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Solution

The third proportional to 290,842 and 623,156 is: 1,335,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,842 : 623,156 = 623,156 : x
  2. Step 2: Convert to fraction form
    290,842/623,156 = 623,156/x
  3. Step 3: Cross multiply
    290,842x = 623,156 × 623,156
  4. Step 4: Simplify right side
    290,842x = 388,323,400,336
  5. Step 5: Solve for x
    x = 388,323,400,336/290,842
  6. Step 6: Final answer
    x = 1,335,169.61

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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.