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Finding the Third Proportional to 300,017.25 and 438,176.25

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Solution

The third proportional to 300,017.25 and 438,176.25 is: 639,957.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,017.25 : 438,176.25 = 438,176.25 : x
  2. Step 2: Convert to fraction form
    300,017.25/438,176.25 = 438,176.25/x
  3. Step 3: Cross multiply
    300,017.25x = 438,176.25 × 438,176.25
  4. Step 4: Simplify right side
    300,017.25x = 191,998,426,064.06
  5. Step 5: Solve for x
    x = 191,998,426,064.06/300,017.25
  6. Step 6: Final answer
    x = 639,957.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.