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Finding the Third Proportional to 163,560 and 238,236

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Solution

The third proportional to 163,560 and 238,236 is: 347,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,560 : 238,236 = 238,236 : x
  2. Step 2: Convert to fraction form
    163,560/238,236 = 238,236/x
  3. Step 3: Cross multiply
    163,560x = 238,236 × 238,236
  4. Step 4: Simplify right side
    163,560x = 56,756,391,696
  5. Step 5: Solve for x
    x = 56,756,391,696/163,560
  6. Step 6: Final answer
    x = 347,006.55

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.