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Finding the Third Proportional to 218,946 and 329,985

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Solution

The third proportional to 218,946 and 329,985 is: 497,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,946 : 329,985 = 329,985 : x
  2. Step 2: Convert to fraction form
    218,946/329,985 = 329,985/x
  3. Step 3: Cross multiply
    218,946x = 329,985 × 329,985
  4. Step 4: Simplify right side
    218,946x = 108,890,100,225
  5. Step 5: Solve for x
    x = 108,890,100,225/218,946
  6. Step 6: Final answer
    x = 497,337.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.