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Finding the Third Proportional to 557,370 and 775,539

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Solution

The third proportional to 557,370 and 775,539 is: 1,079,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,370 : 775,539 = 775,539 : x
  2. Step 2: Convert to fraction form
    557,370/775,539 = 775,539/x
  3. Step 3: Cross multiply
    557,370x = 775,539 × 775,539
  4. Step 4: Simplify right side
    557,370x = 601,460,740,521
  5. Step 5: Solve for x
    x = 601,460,740,521/557,370
  6. Step 6: Final answer
    x = 1,079,104.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.