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Finding the Third Proportional to 200,688 and 435,924

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Solution

The third proportional to 200,688 and 435,924 is: 946,891.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,688 : 435,924 = 435,924 : x
  2. Step 2: Convert to fraction form
    200,688/435,924 = 435,924/x
  3. Step 3: Cross multiply
    200,688x = 435,924 × 435,924
  4. Step 4: Simplify right side
    200,688x = 190,029,733,776
  5. Step 5: Solve for x
    x = 190,029,733,776/200,688
  6. Step 6: Final answer
    x = 946,891.36

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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.