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Finding the Third Proportional to 406,972 and 644,913

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Solution

The third proportional to 406,972 and 644,913 is: 1,021,969.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,972 : 644,913 = 644,913 : x
  2. Step 2: Convert to fraction form
    406,972/644,913 = 644,913/x
  3. Step 3: Cross multiply
    406,972x = 644,913 × 644,913
  4. Step 4: Simplify right side
    406,972x = 415,912,777,569
  5. Step 5: Solve for x
    x = 415,912,777,569/406,972
  6. Step 6: Final answer
    x = 1,021,969.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.