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Finding the Third Proportional to 260,316 and 353,610

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Solution

The third proportional to 260,316 and 353,610 is: 480,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,316 : 353,610 = 353,610 : x
  2. Step 2: Convert to fraction form
    260,316/353,610 = 353,610/x
  3. Step 3: Cross multiply
    260,316x = 353,610 × 353,610
  4. Step 4: Simplify right side
    260,316x = 125,040,032,100
  5. Step 5: Solve for x
    x = 125,040,032,100/260,316
  6. Step 6: Final answer
    x = 480,339.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.