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Finding the Third Proportional to 290,732 and 643,640

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Solution

The third proportional to 290,732 and 643,640 is: 1,424,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,732 : 643,640 = 643,640 : x
  2. Step 2: Convert to fraction form
    290,732/643,640 = 643,640/x
  3. Step 3: Cross multiply
    290,732x = 643,640 × 643,640
  4. Step 4: Simplify right side
    290,732x = 414,272,449,600
  5. Step 5: Solve for x
    x = 414,272,449,600/290,732
  6. Step 6: Final answer
    x = 1,424,928.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.