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Finding the Third Proportional to 121,689 and 265,788

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Solution

The third proportional to 121,689 and 265,788 is: 580,522.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,689 : 265,788 = 265,788 : x
  2. Step 2: Convert to fraction form
    121,689/265,788 = 265,788/x
  3. Step 3: Cross multiply
    121,689x = 265,788 × 265,788
  4. Step 4: Simplify right side
    121,689x = 70,643,260,944
  5. Step 5: Solve for x
    x = 70,643,260,944/121,689
  6. Step 6: Final answer
    x = 580,522.98

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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.