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Finding the Third Proportional to 258,797.25 and 379,492.88

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Solution

The third proportional to 258,797.25 and 379,492.88 is: 556,477.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,797.25 : 379,492.88 = 379,492.88 : x
  2. Step 2: Convert to fraction form
    258,797.25/379,492.88 = 379,492.88/x
  3. Step 3: Cross multiply
    258,797.25x = 379,492.88 × 379,492.88
  4. Step 4: Simplify right side
    258,797.25x = 144,014,842,175.77
  5. Step 5: Solve for x
    x = 144,014,842,175.77/258,797.25
  6. Step 6: Final answer
    x = 556,477.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.