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Finding the Third Proportional to 552,728 and 810,948

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Solution

The third proportional to 552,728 and 810,948 is: 1,189,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,728 : 810,948 = 810,948 : x
  2. Step 2: Convert to fraction form
    552,728/810,948 = 810,948/x
  3. Step 3: Cross multiply
    552,728x = 810,948 × 810,948
  4. Step 4: Simplify right side
    552,728x = 657,636,658,704
  5. Step 5: Solve for x
    x = 657,636,658,704/552,728
  6. Step 6: Final answer
    x = 1,189,801.60

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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.