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Finding the Third Proportional to 163,364 and 221,712

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Solution

The third proportional to 163,364 and 221,712 is: 300,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,364 : 221,712 = 221,712 : x
  2. Step 2: Convert to fraction form
    163,364/221,712 = 221,712/x
  3. Step 3: Cross multiply
    163,364x = 221,712 × 221,712
  4. Step 4: Simplify right side
    163,364x = 49,156,210,944
  5. Step 5: Solve for x
    x = 49,156,210,944/163,364
  6. Step 6: Final answer
    x = 300,899.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.