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Finding the Third Proportional to 402,158 and 622,130

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Solution

The third proportional to 402,158 and 622,130 is: 962,422.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,158 : 622,130 = 622,130 : x
  2. Step 2: Convert to fraction form
    402,158/622,130 = 622,130/x
  3. Step 3: Cross multiply
    402,158x = 622,130 × 622,130
  4. Step 4: Simplify right side
    402,158x = 387,045,736,900
  5. Step 5: Solve for x
    x = 387,045,736,900/402,158
  6. Step 6: Final answer
    x = 962,422.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.