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Finding the Third Proportional to 428,952 and 928,512

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Solution

The third proportional to 428,952 and 928,512 is: 2,009,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,952 : 928,512 = 928,512 : x
  2. Step 2: Convert to fraction form
    428,952/928,512 = 928,512/x
  3. Step 3: Cross multiply
    428,952x = 928,512 × 928,512
  4. Step 4: Simplify right side
    428,952x = 862,134,534,144
  5. Step 5: Solve for x
    x = 862,134,534,144/428,952
  6. Step 6: Final answer
    x = 2,009,862.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.