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Finding the Third Proportional to 151,433 and 318,550

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Solution

The third proportional to 151,433 and 318,550 is: 670,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,433 : 318,550 = 318,550 : x
  2. Step 2: Convert to fraction form
    151,433/318,550 = 318,550/x
  3. Step 3: Cross multiply
    151,433x = 318,550 × 318,550
  4. Step 4: Simplify right side
    151,433x = 101,474,102,500
  5. Step 5: Solve for x
    x = 101,474,102,500/151,433
  6. Step 6: Final answer
    x = 670,092.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.