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Finding the Third Proportional to 550,720 and 1,205,120

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Solution

The third proportional to 550,720 and 1,205,120 is: 2,637,119.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,720 : 1,205,120 = 1,205,120 : x
  2. Step 2: Convert to fraction form
    550,720/1,205,120 = 1,205,120/x
  3. Step 3: Cross multiply
    550,720x = 1,205,120 × 1,205,120
  4. Step 4: Simplify right side
    550,720x = 1,452,314,214,400
  5. Step 5: Solve for x
    x = 1,452,314,214,400/550,720
  6. Step 6: Final answer
    x = 2,637,119.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.