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Finding the Third Proportional to 152,227 and 344,302.25

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Solution

The third proportional to 152,227 and 344,302.25 is: 778,732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,227 : 344,302.25 = 344,302.25 : x
  2. Step 2: Convert to fraction form
    152,227/344,302.25 = 344,302.25/x
  3. Step 3: Cross multiply
    152,227x = 344,302.25 × 344,302.25
  4. Step 4: Simplify right side
    152,227x = 118,544,039,355.06
  5. Step 5: Solve for x
    x = 118,544,039,355.06/152,227
  6. Step 6: Final answer
    x = 778,732.02

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.