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Finding the Third Proportional to 318,170 and 692,608

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Solution

The third proportional to 318,170 and 692,608 is: 1,507,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,170 : 692,608 = 692,608 : x
  2. Step 2: Convert to fraction form
    318,170/692,608 = 692,608/x
  3. Step 3: Cross multiply
    318,170x = 692,608 × 692,608
  4. Step 4: Simplify right side
    318,170x = 479,705,841,664
  5. Step 5: Solve for x
    x = 479,705,841,664/318,170
  6. Step 6: Final answer
    x = 1,507,702.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.