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Finding the Third Proportional to 430,647 and 661,038

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Solution

The third proportional to 430,647 and 661,038 is: 1,014,685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,647 : 661,038 = 661,038 : x
  2. Step 2: Convert to fraction form
    430,647/661,038 = 661,038/x
  3. Step 3: Cross multiply
    430,647x = 661,038 × 661,038
  4. Step 4: Simplify right side
    430,647x = 436,971,237,444
  5. Step 5: Solve for x
    x = 436,971,237,444/430,647
  6. Step 6: Final answer
    x = 1,014,685.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.