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Finding the Third Proportional to 154,754 and 245,955

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Solution

The third proportional to 154,754 and 245,955 is: 390,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,754 : 245,955 = 245,955 : x
  2. Step 2: Convert to fraction form
    154,754/245,955 = 245,955/x
  3. Step 3: Cross multiply
    154,754x = 245,955 × 245,955
  4. Step 4: Simplify right side
    154,754x = 60,493,862,025
  5. Step 5: Solve for x
    x = 60,493,862,025/154,754
  6. Step 6: Final answer
    x = 390,903.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.