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Finding the Third Proportional to 294,679 and 639,254

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Solution

The third proportional to 294,679 and 639,254 is: 1,386,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,679 : 639,254 = 639,254 : x
  2. Step 2: Convert to fraction form
    294,679/639,254 = 639,254/x
  3. Step 3: Cross multiply
    294,679x = 639,254 × 639,254
  4. Step 4: Simplify right side
    294,679x = 408,645,676,516
  5. Step 5: Solve for x
    x = 408,645,676,516/294,679
  6. Step 6: Final answer
    x = 1,386,748.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.