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Finding the Third Proportional to 121,715 and 265,573

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Solution

The third proportional to 121,715 and 265,573 is: 579,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,715 : 265,573 = 265,573 : x
  2. Step 2: Convert to fraction form
    121,715/265,573 = 265,573/x
  3. Step 3: Cross multiply
    121,715x = 265,573 × 265,573
  4. Step 4: Simplify right side
    121,715x = 70,529,018,329
  5. Step 5: Solve for x
    x = 70,529,018,329/121,715
  6. Step 6: Final answer
    x = 579,460.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.