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Finding the Third Proportional to 432,702 and 645,462

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Solution

The third proportional to 432,702 and 645,462 is: 962,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,702 : 645,462 = 645,462 : x
  2. Step 2: Convert to fraction form
    432,702/645,462 = 645,462/x
  3. Step 3: Cross multiply
    432,702x = 645,462 × 645,462
  4. Step 4: Simplify right side
    432,702x = 416,621,193,444
  5. Step 5: Solve for x
    x = 416,621,193,444/432,702
  6. Step 6: Final answer
    x = 962,836.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.