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Finding the Third Proportional to 242,116 and 400,134

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Solution

The third proportional to 242,116 and 400,134 is: 661,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,116 : 400,134 = 400,134 : x
  2. Step 2: Convert to fraction form
    242,116/400,134 = 400,134/x
  3. Step 3: Cross multiply
    242,116x = 400,134 × 400,134
  4. Step 4: Simplify right side
    242,116x = 160,107,217,956
  5. Step 5: Solve for x
    x = 160,107,217,956/242,116
  6. Step 6: Final answer
    x = 661,283.10

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.