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Finding the Third Proportional to 145,728 and 213,664

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Solution

The third proportional to 145,728 and 213,664 is: 313,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,728 : 213,664 = 213,664 : x
  2. Step 2: Convert to fraction form
    145,728/213,664 = 213,664/x
  3. Step 3: Cross multiply
    145,728x = 213,664 × 213,664
  4. Step 4: Simplify right side
    145,728x = 45,652,304,896
  5. Step 5: Solve for x
    x = 45,652,304,896/145,728
  6. Step 6: Final answer
    x = 313,270.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.