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Finding the Third Proportional to 212,136 and 457,480

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Solution

The third proportional to 212,136 and 457,480 is: 986,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,136 : 457,480 = 457,480 : x
  2. Step 2: Convert to fraction form
    212,136/457,480 = 457,480/x
  3. Step 3: Cross multiply
    212,136x = 457,480 × 457,480
  4. Step 4: Simplify right side
    212,136x = 209,287,950,400
  5. Step 5: Solve for x
    x = 209,287,950,400/212,136
  6. Step 6: Final answer
    x = 986,574.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.