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Finding the Third Proportional to 242,456 and 326,140

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Solution

The third proportional to 242,456 and 326,140 is: 438,707.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,456 : 326,140 = 326,140 : x
  2. Step 2: Convert to fraction form
    242,456/326,140 = 326,140/x
  3. Step 3: Cross multiply
    242,456x = 326,140 × 326,140
  4. Step 4: Simplify right side
    242,456x = 106,367,299,600
  5. Step 5: Solve for x
    x = 106,367,299,600/242,456
  6. Step 6: Final answer
    x = 438,707.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.