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Finding the Third Proportional to 552,602 and 810,768

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Solution

The third proportional to 552,602 and 810,768 is: 1,189,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,602 : 810,768 = 810,768 : x
  2. Step 2: Convert to fraction form
    552,602/810,768 = 810,768/x
  3. Step 3: Cross multiply
    552,602x = 810,768 × 810,768
  4. Step 4: Simplify right side
    552,602x = 657,344,749,824
  5. Step 5: Solve for x
    x = 657,344,749,824/552,602
  6. Step 6: Final answer
    x = 1,189,544.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.