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Finding the Third Proportional to 472,936 and 1,037,852

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Solution

The third proportional to 472,936 and 1,037,852 is: 2,277,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,936 : 1,037,852 = 1,037,852 : x
  2. Step 2: Convert to fraction form
    472,936/1,037,852 = 1,037,852/x
  3. Step 3: Cross multiply
    472,936x = 1,037,852 × 1,037,852
  4. Step 4: Simplify right side
    472,936x = 1,077,136,773,904
  5. Step 5: Solve for x
    x = 1,077,136,773,904/472,936
  6. Step 6: Final answer
    x = 2,277,552.93

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.