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Finding the Third Proportional to 290,840 and 623,152

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Solution

The third proportional to 290,840 and 623,152 is: 1,335,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,840 : 623,152 = 623,152 : x
  2. Step 2: Convert to fraction form
    290,840/623,152 = 623,152/x
  3. Step 3: Cross multiply
    290,840x = 623,152 × 623,152
  4. Step 4: Simplify right side
    290,840x = 388,318,415,104
  5. Step 5: Solve for x
    x = 388,318,415,104/290,840
  6. Step 6: Final answer
    x = 1,335,161.65

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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.