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Finding the Third Proportional to 402,160 and 622,134

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Solution

The third proportional to 402,160 and 622,134 is: 962,429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,160 : 622,134 = 622,134 : x
  2. Step 2: Convert to fraction form
    402,160/622,134 = 622,134/x
  3. Step 3: Cross multiply
    402,160x = 622,134 × 622,134
  4. Step 4: Simplify right side
    402,160x = 387,050,713,956
  5. Step 5: Solve for x
    x = 387,050,713,956/402,160
  6. Step 6: Final answer
    x = 962,429.66

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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.