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Finding the Third Proportional to 121,807 and 265,747

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Solution

The third proportional to 121,807 and 265,747 is: 579,781.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,807 : 265,747 = 265,747 : x
  2. Step 2: Convert to fraction form
    121,807/265,747 = 265,747/x
  3. Step 3: Cross multiply
    121,807x = 265,747 × 265,747
  4. Step 4: Simplify right side
    121,807x = 70,621,468,009
  5. Step 5: Solve for x
    x = 70,621,468,009/121,807
  6. Step 6: Final answer
    x = 579,781.69

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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.