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Finding the Third Proportional to 430,548 and 663,990

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Solution

The third proportional to 430,548 and 663,990 is: 1,024,003.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,548 : 663,990 = 663,990 : x
  2. Step 2: Convert to fraction form
    430,548/663,990 = 663,990/x
  3. Step 3: Cross multiply
    430,548x = 663,990 × 663,990
  4. Step 4: Simplify right side
    430,548x = 440,882,720,100
  5. Step 5: Solve for x
    x = 440,882,720,100/430,548
  6. Step 6: Final answer
    x = 1,024,003.64

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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.