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Finding the Third Proportional to 1,431,720 and 3,087,720

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Solution

The third proportional to 1,431,720 and 3,087,720 is: 6,659,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,720 : 3,087,720 = 3,087,720 : x
  2. Step 2: Convert to fraction form
    1,431,720/3,087,720 = 3,087,720/x
  3. Step 3: Cross multiply
    1,431,720x = 3,087,720 × 3,087,720
  4. Step 4: Simplify right side
    1,431,720x = 9,534,014,798,400
  5. Step 5: Solve for x
    x = 9,534,014,798,400/1,431,720
  6. Step 6: Final answer
    x = 6,659,133.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.