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Finding the Third Proportional to 202,242 and 439,783.13

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Solution

The third proportional to 202,242 and 439,783.13 is: 956,325.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,242 : 439,783.13 = 439,783.13 : x
  2. Step 2: Convert to fraction form
    202,242/439,783.13 = 439,783.13/x
  3. Step 3: Cross multiply
    202,242x = 439,783.13 × 439,783.13
  4. Step 4: Simplify right side
    202,242x = 193,409,197,034.77
  5. Step 5: Solve for x
    x = 193,409,197,034.77/202,242
  6. Step 6: Final answer
    x = 956,325.58

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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.