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Finding the Third Proportional to 379,443 and 507,748.50

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Solution

The third proportional to 379,443 and 507,748.50 is: 679,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,443 : 507,748.50 = 507,748.50 : x
  2. Step 2: Convert to fraction form
    379,443/507,748.50 = 507,748.50/x
  3. Step 3: Cross multiply
    379,443x = 507,748.50 × 507,748.50
  4. Step 4: Simplify right side
    379,443x = 257,808,539,252.25
  5. Step 5: Solve for x
    x = 257,808,539,252.25/379,443
  6. Step 6: Final answer
    x = 679,439.44

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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.