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Finding the Third Proportional to 309,920 and 478,896

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Solution

The third proportional to 309,920 and 478,896 is: 740,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,920 : 478,896 = 478,896 : x
  2. Step 2: Convert to fraction form
    309,920/478,896 = 478,896/x
  3. Step 3: Cross multiply
    309,920x = 478,896 × 478,896
  4. Step 4: Simplify right side
    309,920x = 229,341,378,816
  5. Step 5: Solve for x
    x = 229,341,378,816/309,920
  6. Step 6: Final answer
    x = 740,001.87

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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.