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Finding the Third Proportional to 286,024 and 428,484

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Solution

The third proportional to 286,024 and 428,484 is: 641,899.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,024 : 428,484 = 428,484 : x
  2. Step 2: Convert to fraction form
    286,024/428,484 = 428,484/x
  3. Step 3: Cross multiply
    286,024x = 428,484 × 428,484
  4. Step 4: Simplify right side
    286,024x = 183,598,538,256
  5. Step 5: Solve for x
    x = 183,598,538,256/286,024
  6. Step 6: Final answer
    x = 641,899.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.