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Finding the Third Proportional to 121,798 and 265,673

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Solution

The third proportional to 121,798 and 265,673 is: 579,501.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,798 : 265,673 = 265,673 : x
  2. Step 2: Convert to fraction form
    121,798/265,673 = 265,673/x
  3. Step 3: Cross multiply
    121,798x = 265,673 × 265,673
  4. Step 4: Simplify right side
    121,798x = 70,582,142,929
  5. Step 5: Solve for x
    x = 70,582,142,929/121,798
  6. Step 6: Final answer
    x = 579,501.66

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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.