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Finding the Third Proportional to 301,828 and 656,140

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Solution

The third proportional to 301,828 and 656,140 is: 1,426,374.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,828 : 656,140 = 656,140 : x
  2. Step 2: Convert to fraction form
    301,828/656,140 = 656,140/x
  3. Step 3: Cross multiply
    301,828x = 656,140 × 656,140
  4. Step 4: Simplify right side
    301,828x = 430,519,699,600
  5. Step 5: Solve for x
    x = 430,519,699,600/301,828
  6. Step 6: Final answer
    x = 1,426,374.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.