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Finding the Third Proportional to 507,719 and 1,080,640

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Solution

The third proportional to 507,719 and 1,080,640 is: 2,300,057.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,719 : 1,080,640 = 1,080,640 : x
  2. Step 2: Convert to fraction form
    507,719/1,080,640 = 1,080,640/x
  3. Step 3: Cross multiply
    507,719x = 1,080,640 × 1,080,640
  4. Step 4: Simplify right side
    507,719x = 1,167,782,809,600
  5. Step 5: Solve for x
    x = 1,167,782,809,600/507,719
  6. Step 6: Final answer
    x = 2,300,057.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.