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Finding the Third Proportional to 202,388 and 435,388

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Solution

The third proportional to 202,388 and 435,388 is: 936,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,388 : 435,388 = 435,388 : x
  2. Step 2: Convert to fraction form
    202,388/435,388 = 435,388/x
  3. Step 3: Cross multiply
    202,388x = 435,388 × 435,388
  4. Step 4: Simplify right side
    202,388x = 189,562,710,544
  5. Step 5: Solve for x
    x = 189,562,710,544/202,388
  6. Step 6: Final answer
    x = 936,630.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.