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Finding the Third Proportional to 489,842.44 and 742,144.78

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Solution

The third proportional to 489,842.44 and 742,144.78 is: 1,124,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,842.44 : 742,144.78 = 742,144.78 : x
  2. Step 2: Convert to fraction form
    489,842.44/742,144.78 = 742,144.78/x
  3. Step 3: Cross multiply
    489,842.44x = 742,144.78 × 742,144.78
  4. Step 4: Simplify right side
    489,842.44x = 550,778,876,336.61
  5. Step 5: Solve for x
    x = 550,778,876,336.61/489,842.44
  6. Step 6: Final answer
    x = 1,124,400.08

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.