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Finding the Third Proportional to 305,433 and 631,818

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Solution

The third proportional to 305,433 and 631,818 is: 1,306,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,433 : 631,818 = 631,818 : x
  2. Step 2: Convert to fraction form
    305,433/631,818 = 631,818/x
  3. Step 3: Cross multiply
    305,433x = 631,818 × 631,818
  4. Step 4: Simplify right side
    305,433x = 399,193,985,124
  5. Step 5: Solve for x
    x = 399,193,985,124/305,433
  6. Step 6: Final answer
    x = 1,306,977.26

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.