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Finding the Third Proportional to 428,922 and 928,447

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Solution

The third proportional to 428,922 and 928,447 is: 2,009,721.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,922 : 928,447 = 928,447 : x
  2. Step 2: Convert to fraction form
    428,922/928,447 = 928,447/x
  3. Step 3: Cross multiply
    428,922x = 928,447 × 928,447
  4. Step 4: Simplify right side
    428,922x = 862,013,831,809
  5. Step 5: Solve for x
    x = 862,013,831,809/428,922
  6. Step 6: Final answer
    x = 2,009,721.66

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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.