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Finding the Third Proportional to 428,643 and 916,338

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Solution

The third proportional to 428,643 and 916,338 is: 1,958,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,643 : 916,338 = 916,338 : x
  2. Step 2: Convert to fraction form
    428,643/916,338 = 916,338/x
  3. Step 3: Cross multiply
    428,643x = 916,338 × 916,338
  4. Step 4: Simplify right side
    428,643x = 839,675,330,244
  5. Step 5: Solve for x
    x = 839,675,330,244/428,643
  6. Step 6: Final answer
    x = 1,958,915.30

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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.