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Finding the Third Proportional to 243,136 and 505,600

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Solution

The third proportional to 243,136 and 505,600 is: 1,051,392.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,136 : 505,600 = 505,600 : x
  2. Step 2: Convert to fraction form
    243,136/505,600 = 505,600/x
  3. Step 3: Cross multiply
    243,136x = 505,600 × 505,600
  4. Step 4: Simplify right side
    243,136x = 255,631,360,000
  5. Step 5: Solve for x
    x = 255,631,360,000/243,136
  6. Step 6: Final answer
    x = 1,051,392.47

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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.