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Finding the Third Proportional to 153,728 and 196,428

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Solution

The third proportional to 153,728 and 196,428 is: 250,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,728 : 196,428 = 196,428 : x
  2. Step 2: Convert to fraction form
    153,728/196,428 = 196,428/x
  3. Step 3: Cross multiply
    153,728x = 196,428 × 196,428
  4. Step 4: Simplify right side
    153,728x = 38,583,959,184
  5. Step 5: Solve for x
    x = 38,583,959,184/153,728
  6. Step 6: Final answer
    x = 250,988.49

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.