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Finding the Third Proportional to 151,575 and 318,378

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Solution

The third proportional to 151,575 and 318,378 is: 668,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,575 : 318,378 = 318,378 : x
  2. Step 2: Convert to fraction form
    151,575/318,378 = 318,378/x
  3. Step 3: Cross multiply
    151,575x = 318,378 × 318,378
  4. Step 4: Simplify right side
    151,575x = 101,364,550,884
  5. Step 5: Solve for x
    x = 101,364,550,884/151,575
  6. Step 6: Final answer
    x = 668,741.88

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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.