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Finding the Third Proportional to 356,970 and 475,905

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Solution

The third proportional to 356,970 and 475,905 is: 634,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,970 : 475,905 = 475,905 : x
  2. Step 2: Convert to fraction form
    356,970/475,905 = 475,905/x
  3. Step 3: Cross multiply
    356,970x = 475,905 × 475,905
  4. Step 4: Simplify right side
    356,970x = 226,485,569,025
  5. Step 5: Solve for x
    x = 226,485,569,025/356,970
  6. Step 6: Final answer
    x = 634,466.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.