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Finding the Third Proportional to 328,054 and 717,380

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Solution

The third proportional to 328,054 and 717,380 is: 1,568,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,054 : 717,380 = 717,380 : x
  2. Step 2: Convert to fraction form
    328,054/717,380 = 717,380/x
  3. Step 3: Cross multiply
    328,054x = 717,380 × 717,380
  4. Step 4: Simplify right side
    328,054x = 514,634,064,400
  5. Step 5: Solve for x
    x = 514,634,064,400/328,054
  6. Step 6: Final answer
    x = 1,568,748.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.