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Finding the Third Proportional to 432,642 and 929,220

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Solution

The third proportional to 432,642 and 929,220 is: 1,995,760.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,642 : 929,220 = 929,220 : x
  2. Step 2: Convert to fraction form
    432,642/929,220 = 929,220/x
  3. Step 3: Cross multiply
    432,642x = 929,220 × 929,220
  4. Step 4: Simplify right side
    432,642x = 863,449,808,400
  5. Step 5: Solve for x
    x = 863,449,808,400/432,642
  6. Step 6: Final answer
    x = 1,995,760.49

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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.