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Finding the Third Proportional to 531,078 and 1,146,672

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Solution

The third proportional to 531,078 and 1,146,672 is: 2,475,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,078 : 1,146,672 = 1,146,672 : x
  2. Step 2: Convert to fraction form
    531,078/1,146,672 = 1,146,672/x
  3. Step 3: Cross multiply
    531,078x = 1,146,672 × 1,146,672
  4. Step 4: Simplify right side
    531,078x = 1,314,856,675,584
  5. Step 5: Solve for x
    x = 1,314,856,675,584/531,078
  6. Step 6: Final answer
    x = 2,475,825.92

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