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Finding the Third Proportional to 379,390.50 and 571,590

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Solution

The third proportional to 379,390.50 and 571,590 is: 861,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,390.50 : 571,590 = 571,590 : x
  2. Step 2: Convert to fraction form
    379,390.50/571,590 = 571,590/x
  3. Step 3: Cross multiply
    379,390.50x = 571,590 × 571,590
  4. Step 4: Simplify right side
    379,390.50x = 326,715,128,100
  5. Step 5: Solve for x
    x = 326,715,128,100/379,390.50
  6. Step 6: Final answer
    x = 861,157.90

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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.