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Finding the Third Proportional to 70,428 and 154,680

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Solution

The third proportional to 70,428 and 154,680 is: 339,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,428 : 154,680 = 154,680 : x
  2. Step 2: Convert to fraction form
    70,428/154,680 = 154,680/x
  3. Step 3: Cross multiply
    70,428x = 154,680 × 154,680
  4. Step 4: Simplify right side
    70,428x = 23,925,902,400
  5. Step 5: Solve for x
    x = 23,925,902,400/70,428
  6. Step 6: Final answer
    x = 339,721.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.