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Finding the Third Proportional to 120,433 and 254,433

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Solution

The third proportional to 120,433 and 254,433 is: 537,528.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,433 : 254,433 = 254,433 : x
  2. Step 2: Convert to fraction form
    120,433/254,433 = 254,433/x
  3. Step 3: Cross multiply
    120,433x = 254,433 × 254,433
  4. Step 4: Simplify right side
    120,433x = 64,736,151,489
  5. Step 5: Solve for x
    x = 64,736,151,489/120,433
  6. Step 6: Final answer
    x = 537,528.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.