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Finding the Third Proportional to 308,982 and 478,176

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Solution

The third proportional to 308,982 and 478,176 is: 740,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,982 : 478,176 = 478,176 : x
  2. Step 2: Convert to fraction form
    308,982/478,176 = 478,176/x
  3. Step 3: Cross multiply
    308,982x = 478,176 × 478,176
  4. Step 4: Simplify right side
    308,982x = 228,652,286,976
  5. Step 5: Solve for x
    x = 228,652,286,976/308,982
  6. Step 6: Final answer
    x = 740,018.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.