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Finding the Third Proportional to 428,646 and 916,340

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Solution

The third proportional to 428,646 and 916,340 is: 1,958,910.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,646 : 916,340 = 916,340 : x
  2. Step 2: Convert to fraction form
    428,646/916,340 = 916,340/x
  3. Step 3: Cross multiply
    428,646x = 916,340 × 916,340
  4. Step 4: Simplify right side
    428,646x = 839,678,995,600
  5. Step 5: Solve for x
    x = 839,678,995,600/428,646
  6. Step 6: Final answer
    x = 1,958,910.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.