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Finding the Third Proportional to 428,490 and 818,100

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Solution

The third proportional to 428,490 and 818,100 is: 1,561,967.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,490 : 818,100 = 818,100 : x
  2. Step 2: Convert to fraction form
    428,490/818,100 = 818,100/x
  3. Step 3: Cross multiply
    428,490x = 818,100 × 818,100
  4. Step 4: Simplify right side
    428,490x = 669,287,610,000
  5. Step 5: Solve for x
    x = 669,287,610,000/428,490
  6. Step 6: Final answer
    x = 1,561,967.86

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.