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Finding the Third Proportional to 492,884 and 742,830

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Solution

The third proportional to 492,884 and 742,830 is: 1,119,525.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,884 : 742,830 = 742,830 : x
  2. Step 2: Convert to fraction form
    492,884/742,830 = 742,830/x
  3. Step 3: Cross multiply
    492,884x = 742,830 × 742,830
  4. Step 4: Simplify right side
    492,884x = 551,796,408,900
  5. Step 5: Solve for x
    x = 551,796,408,900/492,884
  6. Step 6: Final answer
    x = 1,119,525.91

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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.