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Finding the Third Proportional to 432,738 and 665,555

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Solution

The third proportional to 432,738 and 665,555 is: 1,023,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,738 : 665,555 = 665,555 : x
  2. Step 2: Convert to fraction form
    432,738/665,555 = 665,555/x
  3. Step 3: Cross multiply
    432,738x = 665,555 × 665,555
  4. Step 4: Simplify right side
    432,738x = 442,963,458,025
  5. Step 5: Solve for x
    x = 442,963,458,025/432,738
  6. Step 6: Final answer
    x = 1,023,629.67

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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.