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Finding the Third Proportional to 489,859 and 742,172

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Solution

The third proportional to 489,859 and 742,172 is: 1,124,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,859 : 742,172 = 742,172 : x
  2. Step 2: Convert to fraction form
    489,859/742,172 = 742,172/x
  3. Step 3: Cross multiply
    489,859x = 742,172 × 742,172
  4. Step 4: Simplify right side
    489,859x = 550,819,277,584
  5. Step 5: Solve for x
    x = 550,819,277,584/489,859
  6. Step 6: Final answer
    x = 1,124,444.54

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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.