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Finding the Third Proportional to 163,042 and 343,768

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Solution

The third proportional to 163,042 and 343,768 is: 724,822.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,042 : 343,768 = 343,768 : x
  2. Step 2: Convert to fraction form
    163,042/343,768 = 343,768/x
  3. Step 3: Cross multiply
    163,042x = 343,768 × 343,768
  4. Step 4: Simplify right side
    163,042x = 118,176,437,824
  5. Step 5: Solve for x
    x = 118,176,437,824/163,042
  6. Step 6: Final answer
    x = 724,822.06

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.