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Finding the Third Proportional to 644,548 and 1,391,588

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Solution

The third proportional to 644,548 and 1,391,588 is: 3,004,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,548 : 1,391,588 = 1,391,588 : x
  2. Step 2: Convert to fraction form
    644,548/1,391,588 = 1,391,588/x
  3. Step 3: Cross multiply
    644,548x = 1,391,588 × 1,391,588
  4. Step 4: Simplify right side
    644,548x = 1,936,517,161,744
  5. Step 5: Solve for x
    x = 1,936,517,161,744/644,548
  6. Step 6: Final answer
    x = 3,004,457.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.