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Finding the Third Proportional to 821,768 and 1,153,836

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Solution

The third proportional to 821,768 and 1,153,836 is: 1,620,089.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,768 : 1,153,836 = 1,153,836 : x
  2. Step 2: Convert to fraction form
    821,768/1,153,836 = 1,153,836/x
  3. Step 3: Cross multiply
    821,768x = 1,153,836 × 1,153,836
  4. Step 4: Simplify right side
    821,768x = 1,331,337,514,896
  5. Step 5: Solve for x
    x = 1,331,337,514,896/821,768
  6. Step 6: Final answer
    x = 1,620,089.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.