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Finding the Third Proportional to 432,768 and 920,832

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Solution

The third proportional to 432,768 and 920,832 is: 1,959,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,768 : 920,832 = 920,832 : x
  2. Step 2: Convert to fraction form
    432,768/920,832 = 920,832/x
  3. Step 3: Cross multiply
    432,768x = 920,832 × 920,832
  4. Step 4: Simplify right side
    432,768x = 847,931,572,224
  5. Step 5: Solve for x
    x = 847,931,572,224/432,768
  6. Step 6: Final answer
    x = 1,959,321.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.