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Finding the Third Proportional to 305,714 and 407,730

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Solution

The third proportional to 305,714 and 407,730 is: 543,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,714 : 407,730 = 407,730 : x
  2. Step 2: Convert to fraction form
    305,714/407,730 = 407,730/x
  3. Step 3: Cross multiply
    305,714x = 407,730 × 407,730
  4. Step 4: Simplify right side
    305,714x = 166,243,752,900
  5. Step 5: Solve for x
    x = 166,243,752,900/305,714
  6. Step 6: Final answer
    x = 543,788.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.