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Finding the Third Proportional to 163,663 and 356,485

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Solution

The third proportional to 163,663 and 356,485 is: 776,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,663 : 356,485 = 356,485 : x
  2. Step 2: Convert to fraction form
    163,663/356,485 = 356,485/x
  3. Step 3: Cross multiply
    163,663x = 356,485 × 356,485
  4. Step 4: Simplify right side
    163,663x = 127,081,555,225
  5. Step 5: Solve for x
    x = 127,081,555,225/163,663
  6. Step 6: Final answer
    x = 776,483.11

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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.