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Finding the Third Proportional to 305,343.50 and 421,926.50

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Solution

The third proportional to 305,343.50 and 421,926.50 is: 583,021.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,343.50 : 421,926.50 = 421,926.50 : x
  2. Step 2: Convert to fraction form
    305,343.50/421,926.50 = 421,926.50/x
  3. Step 3: Cross multiply
    305,343.50x = 421,926.50 × 421,926.50
  4. Step 4: Simplify right side
    305,343.50x = 178,021,971,402.25
  5. Step 5: Solve for x
    x = 178,021,971,402.25/305,343.50
  6. Step 6: Final answer
    x = 583,021.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.