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Finding the Third Proportional to 117,437 and 257,318

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Solution

The third proportional to 117,437 and 257,318 is: 563,813.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,437 : 257,318 = 257,318 : x
  2. Step 2: Convert to fraction form
    117,437/257,318 = 257,318/x
  3. Step 3: Cross multiply
    117,437x = 257,318 × 257,318
  4. Step 4: Simplify right side
    117,437x = 66,212,553,124
  5. Step 5: Solve for x
    x = 66,212,553,124/117,437
  6. Step 6: Final answer
    x = 563,813.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.