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Finding the Third Proportional to 492,909 and 719,973

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Solution

The third proportional to 492,909 and 719,973 is: 1,051,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,909 : 719,973 = 719,973 : x
  2. Step 2: Convert to fraction form
    492,909/719,973 = 719,973/x
  3. Step 3: Cross multiply
    492,909x = 719,973 × 719,973
  4. Step 4: Simplify right side
    492,909x = 518,361,120,729
  5. Step 5: Solve for x
    x = 518,361,120,729/492,909
  6. Step 6: Final answer
    x = 1,051,636.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.