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Finding the Third Proportional to 202,509 and 477,430

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Solution

The third proportional to 202,509 and 477,430 is: 1,125,576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,509 : 477,430 = 477,430 : x
  2. Step 2: Convert to fraction form
    202,509/477,430 = 477,430/x
  3. Step 3: Cross multiply
    202,509x = 477,430 × 477,430
  4. Step 4: Simplify right side
    202,509x = 227,939,404,900
  5. Step 5: Solve for x
    x = 227,939,404,900/202,509
  6. Step 6: Final answer
    x = 1,125,576.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.