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Finding the Third Proportional to 145,978 and 319,220

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Solution

The third proportional to 145,978 and 319,220 is: 698,060.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,978 : 319,220 = 319,220 : x
  2. Step 2: Convert to fraction form
    145,978/319,220 = 319,220/x
  3. Step 3: Cross multiply
    145,978x = 319,220 × 319,220
  4. Step 4: Simplify right side
    145,978x = 101,901,408,400
  5. Step 5: Solve for x
    x = 101,901,408,400/145,978
  6. Step 6: Final answer
    x = 698,060.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.