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Finding the Third Proportional to 243,152 and 505,628

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Solution

The third proportional to 243,152 and 505,628 is: 1,051,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,152 : 505,628 = 505,628 : x
  2. Step 2: Convert to fraction form
    243,152/505,628 = 505,628/x
  3. Step 3: Cross multiply
    243,152x = 505,628 × 505,628
  4. Step 4: Simplify right side
    243,152x = 255,659,674,384
  5. Step 5: Solve for x
    x = 255,659,674,384/243,152
  6. Step 6: Final answer
    x = 1,051,439.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.