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Finding the Third Proportional to 202,852 and 435,594

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Solution

The third proportional to 202,852 and 435,594 is: 935,372.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,852 : 435,594 = 435,594 : x
  2. Step 2: Convert to fraction form
    202,852/435,594 = 435,594/x
  3. Step 3: Cross multiply
    202,852x = 435,594 × 435,594
  4. Step 4: Simplify right side
    202,852x = 189,742,132,836
  5. Step 5: Solve for x
    x = 189,742,132,836/202,852
  6. Step 6: Final answer
    x = 935,372.26

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