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Finding the Third Proportional to 492,890 and 742,839

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Solution

The third proportional to 492,890 and 742,839 is: 1,119,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,890 : 742,839 = 742,839 : x
  2. Step 2: Convert to fraction form
    492,890/742,839 = 742,839/x
  3. Step 3: Cross multiply
    492,890x = 742,839 × 742,839
  4. Step 4: Simplify right side
    492,890x = 551,809,779,921
  5. Step 5: Solve for x
    x = 551,809,779,921/492,890
  6. Step 6: Final answer
    x = 1,119,539.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.