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Finding the Third Proportional to 316,872 and 494,748

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Solution

The third proportional to 316,872 and 494,748 is: 772,474.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,872 : 494,748 = 494,748 : x
  2. Step 2: Convert to fraction form
    316,872/494,748 = 494,748/x
  3. Step 3: Cross multiply
    316,872x = 494,748 × 494,748
  4. Step 4: Simplify right side
    316,872x = 244,775,583,504
  5. Step 5: Solve for x
    x = 244,775,583,504/316,872
  6. Step 6: Final answer
    x = 772,474.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.