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Finding the Third Proportional to 218,631 and 478,140

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Solution

The third proportional to 218,631 and 478,140 is: 1,045,679.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,631 : 478,140 = 478,140 : x
  2. Step 2: Convert to fraction form
    218,631/478,140 = 478,140/x
  3. Step 3: Cross multiply
    218,631x = 478,140 × 478,140
  4. Step 4: Simplify right side
    218,631x = 228,617,859,600
  5. Step 5: Solve for x
    x = 228,617,859,600/218,631
  6. Step 6: Final answer
    x = 1,045,679.06

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Why These Related Problems?

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