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Finding the Third Proportional to 202,038 and 439,545

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Solution

The third proportional to 202,038 and 439,545 is: 956,254.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,038 : 439,545 = 439,545 : x
  2. Step 2: Convert to fraction form
    202,038/439,545 = 439,545/x
  3. Step 3: Cross multiply
    202,038x = 439,545 × 439,545
  4. Step 4: Simplify right side
    202,038x = 193,199,807,025
  5. Step 5: Solve for x
    x = 193,199,807,025/202,038
  6. Step 6: Final answer
    x = 956,254.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.