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Finding the Third Proportional to 117,722 and 257,312

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Solution

The third proportional to 117,722 and 257,312 is: 562,422.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,722 : 257,312 = 257,312 : x
  2. Step 2: Convert to fraction form
    117,722/257,312 = 257,312/x
  3. Step 3: Cross multiply
    117,722x = 257,312 × 257,312
  4. Step 4: Simplify right side
    117,722x = 66,209,465,344
  5. Step 5: Solve for x
    x = 66,209,465,344/117,722
  6. Step 6: Final answer
    x = 562,422.19

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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.