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Finding the Third Proportional to 318,913 and 459,506

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Solution

The third proportional to 318,913 and 459,506 is: 662,079.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,913 : 459,506 = 459,506 : x
  2. Step 2: Convert to fraction form
    318,913/459,506 = 459,506/x
  3. Step 3: Cross multiply
    318,913x = 459,506 × 459,506
  4. Step 4: Simplify right side
    318,913x = 211,145,764,036
  5. Step 5: Solve for x
    x = 211,145,764,036/318,913
  6. Step 6: Final answer
    x = 662,079.51

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.