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Finding the Third Proportional to 218,705 and 478,558

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Solution

The third proportional to 218,705 and 478,558 is: 1,047,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,705 : 478,558 = 478,558 : x
  2. Step 2: Convert to fraction form
    218,705/478,558 = 478,558/x
  3. Step 3: Cross multiply
    218,705x = 478,558 × 478,558
  4. Step 4: Simplify right side
    218,705x = 229,017,759,364
  5. Step 5: Solve for x
    x = 229,017,759,364/218,705
  6. Step 6: Final answer
    x = 1,047,153.74

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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.