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Finding the Third Proportional to 316,964 and 492,374

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Solution

The third proportional to 316,964 and 492,374 is: 764,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,964 : 492,374 = 492,374 : x
  2. Step 2: Convert to fraction form
    316,964/492,374 = 492,374/x
  3. Step 3: Cross multiply
    316,964x = 492,374 × 492,374
  4. Step 4: Simplify right side
    316,964x = 242,432,155,876
  5. Step 5: Solve for x
    x = 242,432,155,876/316,964
  6. Step 6: Final answer
    x = 764,857.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.