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Finding the Third Proportional to 145,920 and 209,664

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Solution

The third proportional to 145,920 and 209,664 is: 301,254.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,920 : 209,664 = 209,664 : x
  2. Step 2: Convert to fraction form
    145,920/209,664 = 209,664/x
  3. Step 3: Cross multiply
    145,920x = 209,664 × 209,664
  4. Step 4: Simplify right side
    145,920x = 43,958,992,896
  5. Step 5: Solve for x
    x = 43,958,992,896/145,920
  6. Step 6: Final answer
    x = 301,254.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.