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Finding the Third Proportional to 432,480.75 and 645,141

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Solution

The third proportional to 432,480.75 and 645,141 is: 962,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,480.75 : 645,141 = 645,141 : x
  2. Step 2: Convert to fraction form
    432,480.75/645,141 = 645,141/x
  3. Step 3: Cross multiply
    432,480.75x = 645,141 × 645,141
  4. Step 4: Simplify right side
    432,480.75x = 416,206,909,881
  5. Step 5: Solve for x
    x = 416,206,909,881/432,480.75
  6. Step 6: Final answer
    x = 962,370.95

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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.