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Finding the Third Proportional to 561,807 and 821,673

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Solution

The third proportional to 561,807 and 821,673 is: 1,201,741.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,807 : 821,673 = 821,673 : x
  2. Step 2: Convert to fraction form
    561,807/821,673 = 821,673/x
  3. Step 3: Cross multiply
    561,807x = 821,673 × 821,673
  4. Step 4: Simplify right side
    561,807x = 675,146,518,929
  5. Step 5: Solve for x
    x = 675,146,518,929/561,807
  6. Step 6: Final answer
    x = 1,201,741.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.