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Finding the Third Proportional to 379,440 and 507,744

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Solution

The third proportional to 379,440 and 507,744 is: 679,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,440 : 507,744 = 507,744 : x
  2. Step 2: Convert to fraction form
    379,440/507,744 = 507,744/x
  3. Step 3: Cross multiply
    379,440x = 507,744 × 507,744
  4. Step 4: Simplify right side
    379,440x = 257,803,969,536
  5. Step 5: Solve for x
    x = 257,803,969,536/379,440
  6. Step 6: Final answer
    x = 679,432.77

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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.