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Finding the Third Proportional to 428,612 and 916,270

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Solution

The third proportional to 428,612 and 916,270 is: 1,958,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,612 : 916,270 = 916,270 : x
  2. Step 2: Convert to fraction form
    428,612/916,270 = 916,270/x
  3. Step 3: Cross multiply
    428,612x = 916,270 × 916,270
  4. Step 4: Simplify right side
    428,612x = 839,550,712,900
  5. Step 5: Solve for x
    x = 839,550,712,900/428,612
  6. Step 6: Final answer
    x = 1,958,766.23

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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.