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Finding the Third Proportional to 209,640 and 465,720

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Solution

The third proportional to 209,640 and 465,720 is: 1,034,607.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,640 : 465,720 = 465,720 : x
  2. Step 2: Convert to fraction form
    209,640/465,720 = 465,720/x
  3. Step 3: Cross multiply
    209,640x = 465,720 × 465,720
  4. Step 4: Simplify right side
    209,640x = 216,895,118,400
  5. Step 5: Solve for x
    x = 216,895,118,400/209,640
  6. Step 6: Final answer
    x = 1,034,607.51

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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.