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Finding the Third Proportional to 1,970,520 and 4,235,720

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Solution

The third proportional to 1,970,520 and 4,235,720 is: 9,104,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,520 : 4,235,720 = 4,235,720 : x
  2. Step 2: Convert to fraction form
    1,970,520/4,235,720 = 4,235,720/x
  3. Step 3: Cross multiply
    1,970,520x = 4,235,720 × 4,235,720
  4. Step 4: Simplify right side
    1,970,520x = 17,941,323,918,400
  5. Step 5: Solve for x
    x = 17,941,323,918,400/1,970,520
  6. Step 6: Final answer
    x = 9,104,867.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.