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Finding the Third Proportional to 428,032.13 and 663,688.69

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Solution

The third proportional to 428,032.13 and 663,688.69 is: 1,029,087.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,032.13 : 663,688.69 = 663,688.69 : x
  2. Step 2: Convert to fraction form
    428,032.13/663,688.69 = 663,688.69/x
  3. Step 3: Cross multiply
    428,032.13x = 663,688.69 × 663,688.69
  4. Step 4: Simplify right side
    428,032.13x = 440,482,673,915.47
  5. Step 5: Solve for x
    x = 440,482,673,915.47/428,032.13
  6. Step 6: Final answer
    x = 1,029,087.88

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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.