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Finding the Third Proportional to 309,931.50 and 478,923

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Solution

The third proportional to 309,931.50 and 478,923 is: 740,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,931.50 : 478,923 = 478,923 : x
  2. Step 2: Convert to fraction form
    309,931.50/478,923 = 478,923/x
  3. Step 3: Cross multiply
    309,931.50x = 478,923 × 478,923
  4. Step 4: Simplify right side
    309,931.50x = 229,367,239,929
  5. Step 5: Solve for x
    x = 229,367,239,929/309,931.50
  6. Step 6: Final answer
    x = 740,057.85

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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.