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Finding the Third Proportional to 261,308.53 and 381,878.30

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Solution

The third proportional to 261,308.53 and 381,878.30 is: 558,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,308.53 : 381,878.30 = 381,878.30 : x
  2. Step 2: Convert to fraction form
    261,308.53/381,878.30 = 381,878.30/x
  3. Step 3: Cross multiply
    261,308.53x = 381,878.30 × 381,878.30
  4. Step 4: Simplify right side
    261,308.53x = 145,831,033,624.15
  5. Step 5: Solve for x
    x = 145,831,033,624.15/261,308.53
  6. Step 6: Final answer
    x = 558,079.88

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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.