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Finding the Third Proportional to 379,407 and 571,612.50

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Solution

The third proportional to 379,407 and 571,612.50 is: 861,188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,407 : 571,612.50 = 571,612.50 : x
  2. Step 2: Convert to fraction form
    379,407/571,612.50 = 571,612.50/x
  3. Step 3: Cross multiply
    379,407x = 571,612.50 × 571,612.50
  4. Step 4: Simplify right side
    379,407x = 326,740,850,156.25
  5. Step 5: Solve for x
    x = 326,740,850,156.25/379,407
  6. Step 6: Final answer
    x = 861,188.25

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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.