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Finding the Third Proportional to 253,136 and 556,800

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Solution

The third proportional to 253,136 and 556,800 is: 1,224,741.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,136 : 556,800 = 556,800 : x
  2. Step 2: Convert to fraction form
    253,136/556,800 = 556,800/x
  3. Step 3: Cross multiply
    253,136x = 556,800 × 556,800
  4. Step 4: Simplify right side
    253,136x = 310,026,240,000
  5. Step 5: Solve for x
    x = 310,026,240,000/253,136
  6. Step 6: Final answer
    x = 1,224,741.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.