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Finding the Third Proportional to 205,871 and 437,985

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Solution

The third proportional to 205,871 and 437,985 is: 931,801.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,871 : 437,985 = 437,985 : x
  2. Step 2: Convert to fraction form
    205,871/437,985 = 437,985/x
  3. Step 3: Cross multiply
    205,871x = 437,985 × 437,985
  4. Step 4: Simplify right side
    205,871x = 191,830,860,225
  5. Step 5: Solve for x
    x = 191,830,860,225/205,871
  6. Step 6: Final answer
    x = 931,801.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.