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Finding the Third Proportional to 213,692 and 457,028

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Solution

The third proportional to 213,692 and 457,028 is: 977,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,692 : 457,028 = 457,028 : x
  2. Step 2: Convert to fraction form
    213,692/457,028 = 457,028/x
  3. Step 3: Cross multiply
    213,692x = 457,028 × 457,028
  4. Step 4: Simplify right side
    213,692x = 208,874,592,784
  5. Step 5: Solve for x
    x = 208,874,592,784/213,692
  6. Step 6: Final answer
    x = 977,456.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.