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Finding the Third Proportional to 379,418 and 507,508

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Solution

The third proportional to 379,418 and 507,508 is: 678,840.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,418 : 507,508 = 507,508 : x
  2. Step 2: Convert to fraction form
    379,418/507,508 = 507,508/x
  3. Step 3: Cross multiply
    379,418x = 507,508 × 507,508
  4. Step 4: Simplify right side
    379,418x = 257,564,370,064
  5. Step 5: Solve for x
    x = 257,564,370,064/379,418
  6. Step 6: Final answer
    x = 678,840.67

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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.