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Finding the Third Proportional to 283,729.50 and 421,574

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Solution

The third proportional to 283,729.50 and 421,574 is: 626,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,729.50 : 421,574 = 421,574 : x
  2. Step 2: Convert to fraction form
    283,729.50/421,574 = 421,574/x
  3. Step 3: Cross multiply
    283,729.50x = 421,574 × 421,574
  4. Step 4: Simplify right side
    283,729.50x = 177,724,637,476
  5. Step 5: Solve for x
    x = 177,724,637,476/283,729.50
  6. Step 6: Final answer
    x = 626,387.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.