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Finding the Third Proportional to 983,456 and 1,484,228

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Solution

The third proportional to 983,456 and 1,484,228 is: 2,239,991.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,456 : 1,484,228 = 1,484,228 : x
  2. Step 2: Convert to fraction form
    983,456/1,484,228 = 1,484,228/x
  3. Step 3: Cross multiply
    983,456x = 1,484,228 × 1,484,228
  4. Step 4: Simplify right side
    983,456x = 2,202,932,755,984
  5. Step 5: Solve for x
    x = 2,202,932,755,984/983,456
  6. Step 6: Final answer
    x = 2,239,991.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.