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Finding the Third Proportional to 379,567 and 573,271.50

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Solution

The third proportional to 379,567 and 573,271.50 is: 865,829.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,567 : 573,271.50 = 573,271.50 : x
  2. Step 2: Convert to fraction form
    379,567/573,271.50 = 573,271.50/x
  3. Step 3: Cross multiply
    379,567x = 573,271.50 × 573,271.50
  4. Step 4: Simplify right side
    379,567x = 328,640,212,712.25
  5. Step 5: Solve for x
    x = 328,640,212,712.25/379,567
  6. Step 6: Final answer
    x = 865,829.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.