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Finding the Third Proportional to 301,808 and 639,594

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Solution

The third proportional to 301,808 and 639,594 is: 1,355,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,808 : 639,594 = 639,594 : x
  2. Step 2: Convert to fraction form
    301,808/639,594 = 639,594/x
  3. Step 3: Cross multiply
    301,808x = 639,594 × 639,594
  4. Step 4: Simplify right side
    301,808x = 409,080,484,836
  5. Step 5: Solve for x
    x = 409,080,484,836/301,808
  6. Step 6: Final answer
    x = 1,355,432.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.