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Finding the Third Proportional to 72,643 and 159,664

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Solution

The third proportional to 72,643 and 159,664 is: 350,929.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,643 : 159,664 = 159,664 : x
  2. Step 2: Convert to fraction form
    72,643/159,664 = 159,664/x
  3. Step 3: Cross multiply
    72,643x = 159,664 × 159,664
  4. Step 4: Simplify right side
    72,643x = 25,492,592,896
  5. Step 5: Solve for x
    x = 25,492,592,896/72,643
  6. Step 6: Final answer
    x = 350,929.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.