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Finding the Third Proportional to 708,899 and 1,089,629

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Solution

The third proportional to 708,899 and 1,089,629 is: 1,674,838.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,899 : 1,089,629 = 1,089,629 : x
  2. Step 2: Convert to fraction form
    708,899/1,089,629 = 1,089,629/x
  3. Step 3: Cross multiply
    708,899x = 1,089,629 × 1,089,629
  4. Step 4: Simplify right side
    708,899x = 1,187,291,357,641
  5. Step 5: Solve for x
    x = 1,187,291,357,641/708,899
  6. Step 6: Final answer
    x = 1,674,838.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.