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Finding the Third Proportional to 151,467 and 318,603

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Solution

The third proportional to 151,467 and 318,603 is: 670,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,467 : 318,603 = 318,603 : x
  2. Step 2: Convert to fraction form
    151,467/318,603 = 318,603/x
  3. Step 3: Cross multiply
    151,467x = 318,603 × 318,603
  4. Step 4: Simplify right side
    151,467x = 101,507,871,609
  5. Step 5: Solve for x
    x = 101,507,871,609/151,467
  6. Step 6: Final answer
    x = 670,164.93

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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.