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Finding the Third Proportional to 242,990 and 342,033

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Solution

The third proportional to 242,990 and 342,033 is: 481,446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,990 : 342,033 = 342,033 : x
  2. Step 2: Convert to fraction form
    242,990/342,033 = 342,033/x
  3. Step 3: Cross multiply
    242,990x = 342,033 × 342,033
  4. Step 4: Simplify right side
    242,990x = 116,986,573,089
  5. Step 5: Solve for x
    x = 116,986,573,089/242,990
  6. Step 6: Final answer
    x = 481,446.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.