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Finding the Third Proportional to 163,210 and 356,372

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Solution

The third proportional to 163,210 and 356,372 is: 778,144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,210 : 356,372 = 356,372 : x
  2. Step 2: Convert to fraction form
    163,210/356,372 = 356,372/x
  3. Step 3: Cross multiply
    163,210x = 356,372 × 356,372
  4. Step 4: Simplify right side
    163,210x = 127,001,002,384
  5. Step 5: Solve for x
    x = 127,001,002,384/163,210
  6. Step 6: Final answer
    x = 778,144.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.