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Finding the Third Proportional to 420,059 and 648,705

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Solution

The third proportional to 420,059 and 648,705 is: 1,001,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,059 : 648,705 = 648,705 : x
  2. Step 2: Convert to fraction form
    420,059/648,705 = 648,705/x
  3. Step 3: Cross multiply
    420,059x = 648,705 × 648,705
  4. Step 4: Simplify right side
    420,059x = 420,818,177,025
  5. Step 5: Solve for x
    x = 420,818,177,025/420,059
  6. Step 6: Final answer
    x = 1,001,807.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.