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Finding the Third Proportional to 489,774 and 742,052

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Solution

The third proportional to 489,774 and 742,052 is: 1,124,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,774 : 742,052 = 742,052 : x
  2. Step 2: Convert to fraction form
    489,774/742,052 = 742,052/x
  3. Step 3: Cross multiply
    489,774x = 742,052 × 742,052
  4. Step 4: Simplify right side
    489,774x = 550,641,170,704
  5. Step 5: Solve for x
    x = 550,641,170,704/489,774
  6. Step 6: Final answer
    x = 1,124,276.03

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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.