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Finding the Third Proportional to 721,278 and 1,558,170

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Solution

The third proportional to 721,278 and 1,558,170 is: 3,366,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,278 : 1,558,170 = 1,558,170 : x
  2. Step 2: Convert to fraction form
    721,278/1,558,170 = 1,558,170/x
  3. Step 3: Cross multiply
    721,278x = 1,558,170 × 1,558,170
  4. Step 4: Simplify right side
    721,278x = 2,427,893,748,900
  5. Step 5: Solve for x
    x = 2,427,893,748,900/721,278
  6. Step 6: Final answer
    x = 3,366,099.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.