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Finding the Third Proportional to 432,401.63 and 671,823

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Solution

The third proportional to 432,401.63 and 671,823 is: 1,043,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,401.63 : 671,823 = 671,823 : x
  2. Step 2: Convert to fraction form
    432,401.63/671,823 = 671,823/x
  3. Step 3: Cross multiply
    432,401.63x = 671,823 × 671,823
  4. Step 4: Simplify right side
    432,401.63x = 451,346,143,329
  5. Step 5: Solve for x
    x = 451,346,143,329/432,401.63
  6. Step 6: Final answer
    x = 1,043,812.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.