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Finding the Third Proportional to 118,232 and 257,200

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Solution

The third proportional to 118,232 and 257,200 is: 559,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,232 : 257,200 = 257,200 : x
  2. Step 2: Convert to fraction form
    118,232/257,200 = 257,200/x
  3. Step 3: Cross multiply
    118,232x = 257,200 × 257,200
  4. Step 4: Simplify right side
    118,232x = 66,151,840,000
  5. Step 5: Solve for x
    x = 66,151,840,000/118,232
  6. Step 6: Final answer
    x = 559,508.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.