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Finding the Third Proportional to 432,292 and 931,168

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Solution

The third proportional to 432,292 and 931,168 is: 2,005,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,292 : 931,168 = 931,168 : x
  2. Step 2: Convert to fraction form
    432,292/931,168 = 931,168/x
  3. Step 3: Cross multiply
    432,292x = 931,168 × 931,168
  4. Step 4: Simplify right side
    432,292x = 867,073,844,224
  5. Step 5: Solve for x
    x = 867,073,844,224/432,292
  6. Step 6: Final answer
    x = 2,005,759.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.