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Finding the Third Proportional to 454,494 and 711,405

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Solution

The third proportional to 454,494 and 711,405 is: 1,113,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,494 : 711,405 = 711,405 : x
  2. Step 2: Convert to fraction form
    454,494/711,405 = 711,405/x
  3. Step 3: Cross multiply
    454,494x = 711,405 × 711,405
  4. Step 4: Simplify right side
    454,494x = 506,097,074,025
  5. Step 5: Solve for x
    x = 506,097,074,025/454,494
  6. Step 6: Final answer
    x = 1,113,539.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.