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Finding the Third Proportional to 406,390.50 and 644,027.63

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Solution

The third proportional to 406,390.50 and 644,027.63 is: 1,020,623.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,390.50 : 644,027.63 = 644,027.63 : x
  2. Step 2: Convert to fraction form
    406,390.50/644,027.63 = 644,027.63/x
  3. Step 3: Cross multiply
    406,390.50x = 644,027.63 × 644,027.63
  4. Step 4: Simplify right side
    406,390.50x = 414,771,581,763.14
  5. Step 5: Solve for x
    x = 414,771,581,763.14/406,390.50
  6. Step 6: Final answer
    x = 1,020,623.22

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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.