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Finding the Third Proportional to 489,866 and 742,184

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Solution

The third proportional to 489,866 and 742,184 is: 1,124,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,866 : 742,184 = 742,184 : x
  2. Step 2: Convert to fraction form
    489,866/742,184 = 742,184/x
  3. Step 3: Cross multiply
    489,866x = 742,184 × 742,184
  4. Step 4: Simplify right side
    489,866x = 550,837,089,856
  5. Step 5: Solve for x
    x = 550,837,089,856/489,866
  6. Step 6: Final answer
    x = 1,124,464.83

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Why These Related Problems?

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