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Finding the Third Proportional to 405,762 and 633,208.13

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Solution

The third proportional to 405,762 and 633,208.13 is: 988,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,762 : 633,208.13 = 633,208.13 : x
  2. Step 2: Convert to fraction form
    405,762/633,208.13 = 633,208.13/x
  3. Step 3: Cross multiply
    405,762x = 633,208.13 × 633,208.13
  4. Step 4: Simplify right side
    405,762x = 400,952,529,566.02
  5. Step 5: Solve for x
    x = 400,952,529,566.02/405,762
  6. Step 6: Final answer
    x = 988,147.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.