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Finding the Third Proportional to 117,603 and 257,724

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Solution

The third proportional to 117,603 and 257,724 is: 564,795.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,603 : 257,724 = 257,724 : x
  2. Step 2: Convert to fraction form
    117,603/257,724 = 257,724/x
  3. Step 3: Cross multiply
    117,603x = 257,724 × 257,724
  4. Step 4: Simplify right side
    117,603x = 66,421,660,176
  5. Step 5: Solve for x
    x = 66,421,660,176/117,603
  6. Step 6: Final answer
    x = 564,795.63

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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.