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Finding the Third Proportional to 293,076 and 638,643

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Solution

The third proportional to 293,076 and 638,643 is: 1,391,669.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,076 : 638,643 = 638,643 : x
  2. Step 2: Convert to fraction form
    293,076/638,643 = 638,643/x
  3. Step 3: Cross multiply
    293,076x = 638,643 × 638,643
  4. Step 4: Simplify right side
    293,076x = 407,864,881,449
  5. Step 5: Solve for x
    x = 407,864,881,449/293,076
  6. Step 6: Final answer
    x = 1,391,669.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.