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Finding the Third Proportional to 356,851 and 521,037

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Solution

The third proportional to 356,851 and 521,037 is: 760,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,851 : 521,037 = 521,037 : x
  2. Step 2: Convert to fraction form
    356,851/521,037 = 521,037/x
  3. Step 3: Cross multiply
    356,851x = 521,037 × 521,037
  4. Step 4: Simplify right side
    356,851x = 271,479,555,369
  5. Step 5: Solve for x
    x = 271,479,555,369/356,851
  6. Step 6: Final answer
    x = 760,764.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.