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Finding the Third Proportional to 125,308 and 260,940

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Solution

The third proportional to 125,308 and 260,940 is: 543,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,308 : 260,940 = 260,940 : x
  2. Step 2: Convert to fraction form
    125,308/260,940 = 260,940/x
  3. Step 3: Cross multiply
    125,308x = 260,940 × 260,940
  4. Step 4: Simplify right side
    125,308x = 68,089,683,600
  5. Step 5: Solve for x
    x = 68,089,683,600/125,308
  6. Step 6: Final answer
    x = 543,378.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.