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Finding the Third Proportional to 821,664 and 1,238,328

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Solution

The third proportional to 821,664 and 1,238,328 is: 1,866,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,664 : 1,238,328 = 1,238,328 : x
  2. Step 2: Convert to fraction form
    821,664/1,238,328 = 1,238,328/x
  3. Step 3: Cross multiply
    821,664x = 1,238,328 × 1,238,328
  4. Step 4: Simplify right side
    821,664x = 1,533,456,235,584
  5. Step 5: Solve for x
    x = 1,533,456,235,584/821,664
  6. Step 6: Final answer
    x = 1,866,281.39

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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.