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Finding the Third Proportional to 583,128 and 1,262,976

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Solution

The third proportional to 583,128 and 1,262,976 is: 2,735,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,128 : 1,262,976 = 1,262,976 : x
  2. Step 2: Convert to fraction form
    583,128/1,262,976 = 1,262,976/x
  3. Step 3: Cross multiply
    583,128x = 1,262,976 × 1,262,976
  4. Step 4: Simplify right side
    583,128x = 1,595,108,376,576
  5. Step 5: Solve for x
    x = 1,595,108,376,576/583,128
  6. Step 6: Final answer
    x = 2,735,434.38

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