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Finding the Third Proportional to 214,528 and 321,376

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Solution

The third proportional to 214,528 and 321,376 is: 481,440.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,528 : 321,376 = 321,376 : x
  2. Step 2: Convert to fraction form
    214,528/321,376 = 321,376/x
  3. Step 3: Cross multiply
    214,528x = 321,376 × 321,376
  4. Step 4: Simplify right side
    214,528x = 103,282,533,376
  5. Step 5: Solve for x
    x = 103,282,533,376/214,528
  6. Step 6: Final answer
    x = 481,440.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.