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Finding the Third Proportional to 285,556.88 and 428,389.50

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Solution

The third proportional to 285,556.88 and 428,389.50 is: 642,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,556.88 : 428,389.50 = 428,389.50 : x
  2. Step 2: Convert to fraction form
    285,556.88/428,389.50 = 428,389.50/x
  3. Step 3: Cross multiply
    285,556.88x = 428,389.50 × 428,389.50
  4. Step 4: Simplify right side
    285,556.88x = 183,517,563,710.25
  5. Step 5: Solve for x
    x = 183,517,563,710.25/285,556.88
  6. Step 6: Final answer
    x = 642,665.54

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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.