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Finding the Third Proportional to 306,018 and 505,713

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Solution

The third proportional to 306,018 and 505,713 is: 835,720.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,018 : 505,713 = 505,713 : x
  2. Step 2: Convert to fraction form
    306,018/505,713 = 505,713/x
  3. Step 3: Cross multiply
    306,018x = 505,713 × 505,713
  4. Step 4: Simplify right side
    306,018x = 255,745,638,369
  5. Step 5: Solve for x
    x = 255,745,638,369/306,018
  6. Step 6: Final answer
    x = 835,720.90

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.