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Finding the Third Proportional to 294,719 and 643,408

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Solution

The third proportional to 294,719 and 643,408 is: 1,404,639.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,719 : 643,408 = 643,408 : x
  2. Step 2: Convert to fraction form
    294,719/643,408 = 643,408/x
  3. Step 3: Cross multiply
    294,719x = 643,408 × 643,408
  4. Step 4: Simplify right side
    294,719x = 413,973,854,464
  5. Step 5: Solve for x
    x = 413,973,854,464/294,719
  6. Step 6: Final answer
    x = 1,404,639.18

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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.