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Finding the Third Proportional to 219,261 and 479,528

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Solution

The third proportional to 219,261 and 479,528 is: 1,048,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,261 : 479,528 = 479,528 : x
  2. Step 2: Convert to fraction form
    219,261/479,528 = 479,528/x
  3. Step 3: Cross multiply
    219,261x = 479,528 × 479,528
  4. Step 4: Simplify right side
    219,261x = 229,947,102,784
  5. Step 5: Solve for x
    x = 229,947,102,784/219,261
  6. Step 6: Final answer
    x = 1,048,736.91

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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.