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Finding the Third Proportional to 274,764 and 435,904

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Solution

The third proportional to 274,764 and 435,904 is: 691,547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,764 : 435,904 = 435,904 : x
  2. Step 2: Convert to fraction form
    274,764/435,904 = 435,904/x
  3. Step 3: Cross multiply
    274,764x = 435,904 × 435,904
  4. Step 4: Simplify right side
    274,764x = 190,012,297,216
  5. Step 5: Solve for x
    x = 190,012,297,216/274,764
  6. Step 6: Final answer
    x = 691,547.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.