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Finding the Third Proportional to 352,720 and 783,912

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Solution

The third proportional to 352,720 and 783,912 is: 1,742,226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,720 : 783,912 = 783,912 : x
  2. Step 2: Convert to fraction form
    352,720/783,912 = 783,912/x
  3. Step 3: Cross multiply
    352,720x = 783,912 × 783,912
  4. Step 4: Simplify right side
    352,720x = 614,518,023,744
  5. Step 5: Solve for x
    x = 614,518,023,744/352,720
  6. Step 6: Final answer
    x = 1,742,226.20

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.