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Finding the Third Proportional to 316,260 and 492,534

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Solution

The third proportional to 316,260 and 492,534 is: 767,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,260 : 492,534 = 492,534 : x
  2. Step 2: Convert to fraction form
    316,260/492,534 = 492,534/x
  3. Step 3: Cross multiply
    316,260x = 492,534 × 492,534
  4. Step 4: Simplify right side
    316,260x = 242,589,741,156
  5. Step 5: Solve for x
    x = 242,589,741,156/316,260
  6. Step 6: Final answer
    x = 767,057.93

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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.