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Finding the Third Proportional to 121,746 and 246,840

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Solution

The third proportional to 121,746 and 246,840 is: 500,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,746 : 246,840 = 246,840 : x
  2. Step 2: Convert to fraction form
    121,746/246,840 = 246,840/x
  3. Step 3: Cross multiply
    121,746x = 246,840 × 246,840
  4. Step 4: Simplify right side
    121,746x = 60,929,985,600
  5. Step 5: Solve for x
    x = 60,929,985,600/121,746
  6. Step 6: Final answer
    x = 500,468.07

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.