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Finding the Third Proportional to 361,018 and 529,211

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Solution

The third proportional to 361,018 and 529,211 is: 775,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,018 : 529,211 = 529,211 : x
  2. Step 2: Convert to fraction form
    361,018/529,211 = 529,211/x
  3. Step 3: Cross multiply
    361,018x = 529,211 × 529,211
  4. Step 4: Simplify right side
    361,018x = 280,064,282,521
  5. Step 5: Solve for x
    x = 280,064,282,521/361,018
  6. Step 6: Final answer
    x = 775,762.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.