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Finding the Third Proportional to 430,308 and 663,606

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Solution

The third proportional to 430,308 and 663,606 is: 1,023,390.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,308 : 663,606 = 663,606 : x
  2. Step 2: Convert to fraction form
    430,308/663,606 = 663,606/x
  3. Step 3: Cross multiply
    430,308x = 663,606 × 663,606
  4. Step 4: Simplify right side
    430,308x = 440,372,923,236
  5. Step 5: Solve for x
    x = 440,372,923,236/430,308
  6. Step 6: Final answer
    x = 1,023,390.04

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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.