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Finding the Third Proportional to 431,752 and 916,116

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Solution

The third proportional to 431,752 and 916,116 is: 1,943,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,752 : 916,116 = 916,116 : x
  2. Step 2: Convert to fraction form
    431,752/916,116 = 916,116/x
  3. Step 3: Cross multiply
    431,752x = 916,116 × 916,116
  4. Step 4: Simplify right side
    431,752x = 839,268,525,456
  5. Step 5: Solve for x
    x = 839,268,525,456/431,752
  6. Step 6: Final answer
    x = 1,943,867.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.