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Finding the Third Proportional to 294,656 and 643,288

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Solution

The third proportional to 294,656 and 643,288 is: 1,404,415.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,656 : 643,288 = 643,288 : x
  2. Step 2: Convert to fraction form
    294,656/643,288 = 643,288/x
  3. Step 3: Cross multiply
    294,656x = 643,288 × 643,288
  4. Step 4: Simplify right side
    294,656x = 413,819,450,944
  5. Step 5: Solve for x
    x = 413,819,450,944/294,656
  6. Step 6: Final answer
    x = 1,404,415.49

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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.