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Finding the Third Proportional to 430,658 and 661,054

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Solution

The third proportional to 430,658 and 661,054 is: 1,014,708.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,658 : 661,054 = 661,054 : x
  2. Step 2: Convert to fraction form
    430,658/661,054 = 661,054/x
  3. Step 3: Cross multiply
    430,658x = 661,054 × 661,054
  4. Step 4: Simplify right side
    430,658x = 436,992,390,916
  5. Step 5: Solve for x
    x = 436,992,390,916/430,658
  6. Step 6: Final answer
    x = 1,014,708.63

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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.