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Finding the Third Proportional to 557,338 and 853,998

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Solution

The third proportional to 557,338 and 853,998 is: 1,308,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,338 : 853,998 = 853,998 : x
  2. Step 2: Convert to fraction form
    557,338/853,998 = 853,998/x
  3. Step 3: Cross multiply
    557,338x = 853,998 × 853,998
  4. Step 4: Simplify right side
    557,338x = 729,312,584,004
  5. Step 5: Solve for x
    x = 729,312,584,004/557,338
  6. Step 6: Final answer
    x = 1,308,564.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.