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Finding the Third Proportional to 239,978 and 525,156

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Solution

The third proportional to 239,978 and 525,156 is: 1,149,225.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,978 : 525,156 = 525,156 : x
  2. Step 2: Convert to fraction form
    239,978/525,156 = 525,156/x
  3. Step 3: Cross multiply
    239,978x = 525,156 × 525,156
  4. Step 4: Simplify right side
    239,978x = 275,788,824,336
  5. Step 5: Solve for x
    x = 275,788,824,336/239,978
  6. Step 6: Final answer
    x = 1,149,225.45

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