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Finding the Third Proportional to 242,840 and 380,152

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Solution

The third proportional to 242,840 and 380,152 is: 595,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,840 : 380,152 = 380,152 : x
  2. Step 2: Convert to fraction form
    242,840/380,152 = 380,152/x
  3. Step 3: Cross multiply
    242,840x = 380,152 × 380,152
  4. Step 4: Simplify right side
    242,840x = 144,515,543,104
  5. Step 5: Solve for x
    x = 144,515,543,104/242,840
  6. Step 6: Final answer
    x = 595,106.01

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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.