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Finding the Third Proportional to 72,468 and 153,664

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Solution

The third proportional to 72,468 and 153,664 is: 325,835.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,468 : 153,664 = 153,664 : x
  2. Step 2: Convert to fraction form
    72,468/153,664 = 153,664/x
  3. Step 3: Cross multiply
    72,468x = 153,664 × 153,664
  4. Step 4: Simplify right side
    72,468x = 23,612,624,896
  5. Step 5: Solve for x
    x = 23,612,624,896/72,468
  6. Step 6: Final answer
    x = 325,835.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.