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Finding the Third Proportional to 360,318 and 538,457

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Solution

The third proportional to 360,318 and 538,457 is: 804,666.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,318 : 538,457 = 538,457 : x
  2. Step 2: Convert to fraction form
    360,318/538,457 = 538,457/x
  3. Step 3: Cross multiply
    360,318x = 538,457 × 538,457
  4. Step 4: Simplify right side
    360,318x = 289,935,940,849
  5. Step 5: Solve for x
    x = 289,935,940,849/360,318
  6. Step 6: Final answer
    x = 804,666.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.