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Finding the Third Proportional to 315,086 and 484,310

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Solution

The third proportional to 315,086 and 484,310 is: 744,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,086 : 484,310 = 484,310 : x
  2. Step 2: Convert to fraction form
    315,086/484,310 = 484,310/x
  3. Step 3: Cross multiply
    315,086x = 484,310 × 484,310
  4. Step 4: Simplify right side
    315,086x = 234,556,176,100
  5. Step 5: Solve for x
    x = 234,556,176,100/315,086
  6. Step 6: Final answer
    x = 744,419.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.