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Finding the Third Proportional to 405,373 and 631,023

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Solution

The third proportional to 405,373 and 631,023 is: 982,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,373 : 631,023 = 631,023 : x
  2. Step 2: Convert to fraction form
    405,373/631,023 = 631,023/x
  3. Step 3: Cross multiply
    405,373x = 631,023 × 631,023
  4. Step 4: Simplify right side
    405,373x = 398,190,026,529
  5. Step 5: Solve for x
    x = 398,190,026,529/405,373
  6. Step 6: Final answer
    x = 982,280.58

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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.