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Finding the Third Proportional to 220,456 and 340,737

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Solution

The third proportional to 220,456 and 340,737 is: 526,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,456 : 340,737 = 340,737 : x
  2. Step 2: Convert to fraction form
    220,456/340,737 = 340,737/x
  3. Step 3: Cross multiply
    220,456x = 340,737 × 340,737
  4. Step 4: Simplify right side
    220,456x = 116,101,703,169
  5. Step 5: Solve for x
    x = 116,101,703,169/220,456
  6. Step 6: Final answer
    x = 526,643.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.