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Finding the Third Proportional to 120,726 and 257,046

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Solution

The third proportional to 120,726 and 257,046 is: 547,294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,726 : 257,046 = 257,046 : x
  2. Step 2: Convert to fraction form
    120,726/257,046 = 257,046/x
  3. Step 3: Cross multiply
    120,726x = 257,046 × 257,046
  4. Step 4: Simplify right side
    120,726x = 66,072,646,116
  5. Step 5: Solve for x
    x = 66,072,646,116/120,726
  6. Step 6: Final answer
    x = 547,294.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.