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Finding the Third Proportional to 430,655 and 661,049

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Solution

The third proportional to 430,655 and 661,049 is: 1,014,700.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,655 : 661,049 = 661,049 : x
  2. Step 2: Convert to fraction form
    430,655/661,049 = 661,049/x
  3. Step 3: Cross multiply
    430,655x = 661,049 × 661,049
  4. Step 4: Simplify right side
    430,655x = 436,985,780,401
  5. Step 5: Solve for x
    x = 436,985,780,401/430,655
  6. Step 6: Final answer
    x = 1,014,700.35

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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.