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Finding the Third Proportional to 557,928 and 810,972

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Solution

The third proportional to 557,928 and 810,972 is: 1,178,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,928 : 810,972 = 810,972 : x
  2. Step 2: Convert to fraction form
    557,928/810,972 = 810,972/x
  3. Step 3: Cross multiply
    557,928x = 810,972 × 810,972
  4. Step 4: Simplify right side
    557,928x = 657,675,584,784
  5. Step 5: Solve for x
    x = 657,675,584,784/557,928
  6. Step 6: Final answer
    x = 1,178,782.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.