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Finding the Third Proportional to 432,912 and 651,965

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Solution

The third proportional to 432,912 and 651,965 is: 981,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,912 : 651,965 = 651,965 : x
  2. Step 2: Convert to fraction form
    432,912/651,965 = 651,965/x
  3. Step 3: Cross multiply
    432,912x = 651,965 × 651,965
  4. Step 4: Simplify right side
    432,912x = 425,058,361,225
  5. Step 5: Solve for x
    x = 425,058,361,225/432,912
  6. Step 6: Final answer
    x = 981,858.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.