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Finding the Third Proportional to 400,047.19 and 874,782

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Solution

The third proportional to 400,047.19 and 874,782 is: 1,912,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,047.19 : 874,782 = 874,782 : x
  2. Step 2: Convert to fraction form
    400,047.19/874,782 = 874,782/x
  3. Step 3: Cross multiply
    400,047.19x = 874,782 × 874,782
  4. Step 4: Simplify right side
    400,047.19x = 765,243,547,524
  5. Step 5: Solve for x
    x = 765,243,547,524/400,047.19
  6. Step 6: Final answer
    x = 1,912,883.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.