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Finding the Third Proportional to 242,178 and 332,445

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Solution

The third proportional to 242,178 and 332,445 is: 456,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,178 : 332,445 = 332,445 : x
  2. Step 2: Convert to fraction form
    242,178/332,445 = 332,445/x
  3. Step 3: Cross multiply
    242,178x = 332,445 × 332,445
  4. Step 4: Simplify right side
    242,178x = 110,519,678,025
  5. Step 5: Solve for x
    x = 110,519,678,025/242,178
  6. Step 6: Final answer
    x = 456,357.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.