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Finding the Third Proportional to 343,572 and 519,123

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Solution

The third proportional to 343,572 and 519,123 is: 784,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,572 : 519,123 = 519,123 : x
  2. Step 2: Convert to fraction form
    343,572/519,123 = 519,123/x
  3. Step 3: Cross multiply
    343,572x = 519,123 × 519,123
  4. Step 4: Simplify right side
    343,572x = 269,488,689,129
  5. Step 5: Solve for x
    x = 269,488,689,129/343,572
  6. Step 6: Final answer
    x = 784,373.26

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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.