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Finding the Third Proportional to 154,842 and 316,248

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Solution

The third proportional to 154,842 and 316,248 is: 645,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,842 : 316,248 = 316,248 : x
  2. Step 2: Convert to fraction form
    154,842/316,248 = 316,248/x
  3. Step 3: Cross multiply
    154,842x = 316,248 × 316,248
  4. Step 4: Simplify right side
    154,842x = 100,012,797,504
  5. Step 5: Solve for x
    x = 100,012,797,504/154,842
  6. Step 6: Final answer
    x = 645,902.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.