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Finding the Third Proportional to 213,754 and 457,136

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Solution

The third proportional to 213,754 and 457,136 is: 977,634.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,754 : 457,136 = 457,136 : x
  2. Step 2: Convert to fraction form
    213,754/457,136 = 457,136/x
  3. Step 3: Cross multiply
    213,754x = 457,136 × 457,136
  4. Step 4: Simplify right side
    213,754x = 208,973,322,496
  5. Step 5: Solve for x
    x = 208,973,322,496/213,754
  6. Step 6: Final answer
    x = 977,634.68

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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.