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Finding the Third Proportional to 290,116.69 and 637,669.97

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Solution

The third proportional to 290,116.69 and 637,669.97 is: 1,401,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,116.69 : 637,669.97 = 637,669.97 : x
  2. Step 2: Convert to fraction form
    290,116.69/637,669.97 = 637,669.97/x
  3. Step 3: Cross multiply
    290,116.69x = 637,669.97 × 637,669.97
  4. Step 4: Simplify right side
    290,116.69x = 406,622,989,045.63
  5. Step 5: Solve for x
    x = 406,622,989,045.63/290,116.69
  6. Step 6: Final answer
    x = 1,401,584.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.