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Finding the Third Proportional to 456,453 and 684,765

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Solution

The third proportional to 456,453 and 684,765 is: 1,027,275.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,453 : 684,765 = 684,765 : x
  2. Step 2: Convert to fraction form
    456,453/684,765 = 684,765/x
  3. Step 3: Cross multiply
    456,453x = 684,765 × 684,765
  4. Step 4: Simplify right side
    456,453x = 468,903,105,225
  5. Step 5: Solve for x
    x = 468,903,105,225/456,453
  6. Step 6: Final answer
    x = 1,027,275.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.