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Finding the Third Proportional to 365,796 and 521,478

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Solution

The third proportional to 365,796 and 521,478 is: 743,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,796 : 521,478 = 521,478 : x
  2. Step 2: Convert to fraction form
    365,796/521,478 = 521,478/x
  3. Step 3: Cross multiply
    365,796x = 521,478 × 521,478
  4. Step 4: Simplify right side
    365,796x = 271,939,304,484
  5. Step 5: Solve for x
    x = 271,939,304,484/365,796
  6. Step 6: Final answer
    x = 743,417.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.