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Finding the Third Proportional to 117,726 and 257,320

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Solution

The third proportional to 117,726 and 257,320 is: 562,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,726 : 257,320 = 257,320 : x
  2. Step 2: Convert to fraction form
    117,726/257,320 = 257,320/x
  3. Step 3: Cross multiply
    117,726x = 257,320 × 257,320
  4. Step 4: Simplify right side
    117,726x = 66,213,582,400
  5. Step 5: Solve for x
    x = 66,213,582,400/117,726
  6. Step 6: Final answer
    x = 562,438.05

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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.