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Finding the Third Proportional to 407,162 and 535,416

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Solution

The third proportional to 407,162 and 535,416 is: 704,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,162 : 535,416 = 535,416 : x
  2. Step 2: Convert to fraction form
    407,162/535,416 = 535,416/x
  3. Step 3: Cross multiply
    407,162x = 535,416 × 535,416
  4. Step 4: Simplify right side
    407,162x = 286,670,293,056
  5. Step 5: Solve for x
    x = 286,670,293,056/407,162
  6. Step 6: Final answer
    x = 704,069.37

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.