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Finding the Third Proportional to 721,956 and 1,122,310

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Solution

The third proportional to 721,956 and 1,122,310 is: 1,744,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,956 : 1,122,310 = 1,122,310 : x
  2. Step 2: Convert to fraction form
    721,956/1,122,310 = 1,122,310/x
  3. Step 3: Cross multiply
    721,956x = 1,122,310 × 1,122,310
  4. Step 4: Simplify right side
    721,956x = 1,259,579,736,100
  5. Step 5: Solve for x
    x = 1,259,579,736,100/721,956
  6. Step 6: Final answer
    x = 1,744,676.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.