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Finding the Third Proportional to 296,970 and 639,894

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Solution

The third proportional to 296,970 and 639,894 is: 1,378,807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,970 : 639,894 = 639,894 : x
  2. Step 2: Convert to fraction form
    296,970/639,894 = 639,894/x
  3. Step 3: Cross multiply
    296,970x = 639,894 × 639,894
  4. Step 4: Simplify right side
    296,970x = 409,464,331,236
  5. Step 5: Solve for x
    x = 409,464,331,236/296,970
  6. Step 6: Final answer
    x = 1,378,807.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.