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Finding the Third Proportional to 200,690 and 435,928

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Solution

The third proportional to 200,690 and 435,928 is: 946,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,690 : 435,928 = 435,928 : x
  2. Step 2: Convert to fraction form
    200,690/435,928 = 435,928/x
  3. Step 3: Cross multiply
    200,690x = 435,928 × 435,928
  4. Step 4: Simplify right side
    200,690x = 190,033,221,184
  5. Step 5: Solve for x
    x = 190,033,221,184/200,690
  6. Step 6: Final answer
    x = 946,899.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.