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Finding the Third Proportional to 144,915.75 and 218,467.13

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Solution

The third proportional to 144,915.75 and 218,467.13 is: 329,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,915.75 : 218,467.13 = 218,467.13 : x
  2. Step 2: Convert to fraction form
    144,915.75/218,467.13 = 218,467.13/x
  3. Step 3: Cross multiply
    144,915.75x = 218,467.13 × 218,467.13
  4. Step 4: Simplify right side
    144,915.75x = 47,727,884,705.77
  5. Step 5: Solve for x
    x = 47,727,884,705.77/144,915.75
  6. Step 6: Final answer
    x = 329,349.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.