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Finding the Third Proportional to 117,136 and 257,600

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Solution

The third proportional to 117,136 and 257,600 is: 566,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,136 : 257,600 = 257,600 : x
  2. Step 2: Convert to fraction form
    117,136/257,600 = 257,600/x
  3. Step 3: Cross multiply
    117,136x = 257,600 × 257,600
  4. Step 4: Simplify right side
    117,136x = 66,357,760,000
  5. Step 5: Solve for x
    x = 66,357,760,000/117,136
  6. Step 6: Final answer
    x = 566,501.84

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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.