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Finding the Third Proportional to 294,724 and 643,416

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Solution

The third proportional to 294,724 and 643,416 is: 1,404,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,724 : 643,416 = 643,416 : x
  2. Step 2: Convert to fraction form
    294,724/643,416 = 643,416/x
  3. Step 3: Cross multiply
    294,724x = 643,416 × 643,416
  4. Step 4: Simplify right side
    294,724x = 413,984,149,056
  5. Step 5: Solve for x
    x = 413,984,149,056/294,724
  6. Step 6: Final answer
    x = 1,404,650.28

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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.