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Finding the Third Proportional to 427,447 and 928,974

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Solution

The third proportional to 427,447 and 928,974 is: 2,018,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,447 : 928,974 = 928,974 : x
  2. Step 2: Convert to fraction form
    427,447/928,974 = 928,974/x
  3. Step 3: Cross multiply
    427,447x = 928,974 × 928,974
  4. Step 4: Simplify right side
    427,447x = 862,992,692,676
  5. Step 5: Solve for x
    x = 862,992,692,676/427,447
  6. Step 6: Final answer
    x = 2,018,946.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.