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Finding the Third Proportional to 639,562 and 923,985

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Solution

The third proportional to 639,562 and 923,985 is: 1,334,895.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,562 : 923,985 = 923,985 : x
  2. Step 2: Convert to fraction form
    639,562/923,985 = 923,985/x
  3. Step 3: Cross multiply
    639,562x = 923,985 × 923,985
  4. Step 4: Simplify right side
    639,562x = 853,748,280,225
  5. Step 5: Solve for x
    x = 853,748,280,225/639,562
  6. Step 6: Final answer
    x = 1,334,895.26

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.