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Finding the Third Proportional to 291,848 and 634,813

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Solution

The third proportional to 291,848 and 634,813 is: 1,380,813.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,848 : 634,813 = 634,813 : x
  2. Step 2: Convert to fraction form
    291,848/634,813 = 634,813/x
  3. Step 3: Cross multiply
    291,848x = 634,813 × 634,813
  4. Step 4: Simplify right side
    291,848x = 402,987,544,969
  5. Step 5: Solve for x
    x = 402,987,544,969/291,848
  6. Step 6: Final answer
    x = 1,380,813.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.