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Finding the Third Proportional to 163,776 and 262,728

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Solution

The third proportional to 163,776 and 262,728 is: 421,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,776 : 262,728 = 262,728 : x
  2. Step 2: Convert to fraction form
    163,776/262,728 = 262,728/x
  3. Step 3: Cross multiply
    163,776x = 262,728 × 262,728
  4. Step 4: Simplify right side
    163,776x = 69,026,001,984
  5. Step 5: Solve for x
    x = 69,026,001,984/163,776
  6. Step 6: Final answer
    x = 421,465.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.