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Finding the Third Proportional to 306,014 and 505,707

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Solution

The third proportional to 306,014 and 505,707 is: 835,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,014 : 505,707 = 505,707 : x
  2. Step 2: Convert to fraction form
    306,014/505,707 = 505,707/x
  3. Step 3: Cross multiply
    306,014x = 505,707 × 505,707
  4. Step 4: Simplify right side
    306,014x = 255,739,569,849
  5. Step 5: Solve for x
    x = 255,739,569,849/306,014
  6. Step 6: Final answer
    x = 835,711.99

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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.