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Finding the Third Proportional to 306,784 and 656,216

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Solution

The third proportional to 306,784 and 656,216 is: 1,403,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,784 : 656,216 = 656,216 : x
  2. Step 2: Convert to fraction form
    306,784/656,216 = 656,216/x
  3. Step 3: Cross multiply
    306,784x = 656,216 × 656,216
  4. Step 4: Simplify right side
    306,784x = 430,619,438,656
  5. Step 5: Solve for x
    x = 430,619,438,656/306,784
  6. Step 6: Final answer
    x = 1,403,656.77

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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.