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Finding the Third Proportional to 356,581 and 485,664

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Solution

The third proportional to 356,581 and 485,664 is: 661,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,581 : 485,664 = 485,664 : x
  2. Step 2: Convert to fraction form
    356,581/485,664 = 485,664/x
  3. Step 3: Cross multiply
    356,581x = 485,664 × 485,664
  4. Step 4: Simplify right side
    356,581x = 235,869,520,896
  5. Step 5: Solve for x
    x = 235,869,520,896/356,581
  6. Step 6: Final answer
    x = 661,475.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.