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Finding the Third Proportional to 309,944 and 478,734

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Solution

The third proportional to 309,944 and 478,734 is: 739,444.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,944 : 478,734 = 478,734 : x
  2. Step 2: Convert to fraction form
    309,944/478,734 = 478,734/x
  3. Step 3: Cross multiply
    309,944x = 478,734 × 478,734
  4. Step 4: Simplify right side
    309,944x = 229,186,242,756
  5. Step 5: Solve for x
    x = 229,186,242,756/309,944
  6. Step 6: Final answer
    x = 739,444.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.