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Finding the Third Proportional to 306,856 and 656,360

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Solution

The third proportional to 306,856 and 656,360 is: 1,403,943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,856 : 656,360 = 656,360 : x
  2. Step 2: Convert to fraction form
    306,856/656,360 = 656,360/x
  3. Step 3: Cross multiply
    306,856x = 656,360 × 656,360
  4. Step 4: Simplify right side
    306,856x = 430,808,449,600
  5. Step 5: Solve for x
    x = 430,808,449,600/306,856
  6. Step 6: Final answer
    x = 1,403,943.38

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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.