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Finding the Third Proportional to 428,032.88 and 663,690

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Solution

The third proportional to 428,032.88 and 663,690 is: 1,029,090.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,032.88 : 663,690 = 663,690 : x
  2. Step 2: Convert to fraction form
    428,032.88/663,690 = 663,690/x
  3. Step 3: Cross multiply
    428,032.88x = 663,690 × 663,690
  4. Step 4: Simplify right side
    428,032.88x = 440,484,416,100
  5. Step 5: Solve for x
    x = 440,484,416,100/428,032.88
  6. Step 6: Final answer
    x = 1,029,090.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.