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Finding the Third Proportional to 410,138 and 642,088

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Solution

The third proportional to 410,138 and 642,088 is: 1,005,215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,138 : 642,088 = 642,088 : x
  2. Step 2: Convert to fraction form
    410,138/642,088 = 642,088/x
  3. Step 3: Cross multiply
    410,138x = 642,088 × 642,088
  4. Step 4: Simplify right side
    410,138x = 412,276,999,744
  5. Step 5: Solve for x
    x = 412,276,999,744/410,138
  6. Step 6: Final answer
    x = 1,005,215.32

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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.