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Finding the Third Proportional to 305,926.50 and 656,138.63

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Solution

The third proportional to 305,926.50 and 656,138.63 is: 1,407,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,926.50 : 656,138.63 = 656,138.63 : x
  2. Step 2: Convert to fraction form
    305,926.50/656,138.63 = 656,138.63/x
  3. Step 3: Cross multiply
    305,926.50x = 656,138.63 × 656,138.63
  4. Step 4: Simplify right side
    305,926.50x = 430,517,895,216.89
  5. Step 5: Solve for x
    x = 430,517,895,216.89/305,926.50
  6. Step 6: Final answer
    x = 1,407,259.24

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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.