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Finding the Third Proportional to 379,413 and 507,503.25

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Solution

The third proportional to 379,413 and 507,503.25 is: 678,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,413 : 507,503.25 = 507,503.25 : x
  2. Step 2: Convert to fraction form
    379,413/507,503.25 = 507,503.25/x
  3. Step 3: Cross multiply
    379,413x = 507,503.25 × 507,503.25
  4. Step 4: Simplify right side
    379,413x = 257,559,548,760.56
  5. Step 5: Solve for x
    x = 257,559,548,760.56/379,413
  6. Step 6: Final answer
    x = 678,836.91

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.