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Finding the Third Proportional to 328,646 and 519,960

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Solution

The third proportional to 328,646 and 519,960 is: 822,643.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,646 : 519,960 = 519,960 : x
  2. Step 2: Convert to fraction form
    328,646/519,960 = 519,960/x
  3. Step 3: Cross multiply
    328,646x = 519,960 × 519,960
  4. Step 4: Simplify right side
    328,646x = 270,358,401,600
  5. Step 5: Solve for x
    x = 270,358,401,600/328,646
  6. Step 6: Final answer
    x = 822,643.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.