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Finding the Third Proportional to 1,080,810 and 1,657,847.25

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Solution

The third proportional to 1,080,810 and 1,657,847.25 is: 2,542,960.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080,810 : 1,657,847.25 = 1,657,847.25 : x
  2. Step 2: Convert to fraction form
    1,080,810/1,657,847.25 = 1,657,847.25/x
  3. Step 3: Cross multiply
    1,080,810x = 1,657,847.25 × 1,657,847.25
  4. Step 4: Simplify right side
    1,080,810x = 2,748,457,504,332.56
  5. Step 5: Solve for x
    x = 2,748,457,504,332.56/1,080,810
  6. Step 6: Final answer
    x = 2,542,960.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.