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Finding the Third Proportional to 972,912 and 2,089,680

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Solution

The third proportional to 972,912 and 2,089,680 is: 4,488,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,912 : 2,089,680 = 2,089,680 : x
  2. Step 2: Convert to fraction form
    972,912/2,089,680 = 2,089,680/x
  3. Step 3: Cross multiply
    972,912x = 2,089,680 × 2,089,680
  4. Step 4: Simplify right side
    972,912x = 4,366,762,502,400
  5. Step 5: Solve for x
    x = 4,366,762,502,400/972,912
  6. Step 6: Final answer
    x = 4,488,342.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.