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Finding the Third Proportional to 342,198 and 510,369

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Solution

The third proportional to 342,198 and 510,369 is: 761,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,198 : 510,369 = 510,369 : x
  2. Step 2: Convert to fraction form
    342,198/510,369 = 510,369/x
  3. Step 3: Cross multiply
    342,198x = 510,369 × 510,369
  4. Step 4: Simplify right side
    342,198x = 260,476,516,161
  5. Step 5: Solve for x
    x = 260,476,516,161/342,198
  6. Step 6: Final answer
    x = 761,186.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.