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Finding the Third Proportional to 117,714 and 257,435

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Solution

The third proportional to 117,714 and 257,435 is: 562,998.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,714 : 257,435 = 257,435 : x
  2. Step 2: Convert to fraction form
    117,714/257,435 = 257,435/x
  3. Step 3: Cross multiply
    117,714x = 257,435 × 257,435
  4. Step 4: Simplify right side
    117,714x = 66,272,779,225
  5. Step 5: Solve for x
    x = 66,272,779,225/117,714
  6. Step 6: Final answer
    x = 562,998.28

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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.