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Finding the Third Proportional to 306,886 and 656,416

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Solution

The third proportional to 306,886 and 656,416 is: 1,404,045.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,886 : 656,416 = 656,416 : x
  2. Step 2: Convert to fraction form
    306,886/656,416 = 656,416/x
  3. Step 3: Cross multiply
    306,886x = 656,416 × 656,416
  4. Step 4: Simplify right side
    306,886x = 430,881,965,056
  5. Step 5: Solve for x
    x = 430,881,965,056/306,886
  6. Step 6: Final answer
    x = 1,404,045.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.