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Finding the Third Proportional to 721,852 and 1,009,163

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Solution

The third proportional to 721,852 and 1,009,163 is: 1,410,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,852 : 1,009,163 = 1,009,163 : x
  2. Step 2: Convert to fraction form
    721,852/1,009,163 = 1,009,163/x
  3. Step 3: Cross multiply
    721,852x = 1,009,163 × 1,009,163
  4. Step 4: Simplify right side
    721,852x = 1,018,409,960,569
  5. Step 5: Solve for x
    x = 1,018,409,960,569/721,852
  6. Step 6: Final answer
    x = 1,410,829.31

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Why These Related Problems?

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