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Finding the Third Proportional to 430,538 and 663,975

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Solution

The third proportional to 430,538 and 663,975 is: 1,023,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,538 : 663,975 = 663,975 : x
  2. Step 2: Convert to fraction form
    430,538/663,975 = 663,975/x
  3. Step 3: Cross multiply
    430,538x = 663,975 × 663,975
  4. Step 4: Simplify right side
    430,538x = 440,862,800,625
  5. Step 5: Solve for x
    x = 440,862,800,625/430,538
  6. Step 6: Final answer
    x = 1,023,981.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.