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Finding the Third Proportional to 434,660 and 916,520

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Solution

The third proportional to 434,660 and 916,520 is: 1,932,565.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,660 : 916,520 = 916,520 : x
  2. Step 2: Convert to fraction form
    434,660/916,520 = 916,520/x
  3. Step 3: Cross multiply
    434,660x = 916,520 × 916,520
  4. Step 4: Simplify right side
    434,660x = 840,008,910,400
  5. Step 5: Solve for x
    x = 840,008,910,400/434,660
  6. Step 6: Final answer
    x = 1,932,565.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.