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Finding the Third Proportional to 286,030 and 428,916

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Solution

The third proportional to 286,030 and 428,916 is: 643,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,030 : 428,916 = 428,916 : x
  2. Step 2: Convert to fraction form
    286,030/428,916 = 428,916/x
  3. Step 3: Cross multiply
    286,030x = 428,916 × 428,916
  4. Step 4: Simplify right side
    286,030x = 183,968,935,056
  5. Step 5: Solve for x
    x = 183,968,935,056/286,030
  6. Step 6: Final answer
    x = 643,180.56

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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.