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Finding the Third Proportional to 145,968 and 320,424

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Solution

The third proportional to 145,968 and 320,424 is: 703,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,968 : 320,424 = 320,424 : x
  2. Step 2: Convert to fraction form
    145,968/320,424 = 320,424/x
  3. Step 3: Cross multiply
    145,968x = 320,424 × 320,424
  4. Step 4: Simplify right side
    145,968x = 102,671,539,776
  5. Step 5: Solve for x
    x = 102,671,539,776/145,968
  6. Step 6: Final answer
    x = 703,383.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.