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Finding the Third Proportional to 309,414 and 478,692

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Solution

The third proportional to 309,414 and 478,692 is: 740,580.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,414 : 478,692 = 478,692 : x
  2. Step 2: Convert to fraction form
    309,414/478,692 = 478,692/x
  3. Step 3: Cross multiply
    309,414x = 478,692 × 478,692
  4. Step 4: Simplify right side
    309,414x = 229,146,030,864
  5. Step 5: Solve for x
    x = 229,146,030,864/309,414
  6. Step 6: Final answer
    x = 740,580.68

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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.