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Finding the Third Proportional to 406,970 and 644,910

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Solution

The third proportional to 406,970 and 644,910 is: 1,021,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,970 : 644,910 = 644,910 : x
  2. Step 2: Convert to fraction form
    406,970/644,910 = 644,910/x
  3. Step 3: Cross multiply
    406,970x = 644,910 × 644,910
  4. Step 4: Simplify right side
    406,970x = 415,908,908,100
  5. Step 5: Solve for x
    x = 415,908,908,100/406,970
  6. Step 6: Final answer
    x = 1,021,964.54

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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.