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Finding the Third Proportional to 449,047.13 and 697,219.31

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Solution

The third proportional to 449,047.13 and 697,219.31 is: 1,082,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,047.13 : 697,219.31 = 697,219.31 : x
  2. Step 2: Convert to fraction form
    449,047.13/697,219.31 = 697,219.31/x
  3. Step 3: Cross multiply
    449,047.13x = 697,219.31 × 697,219.31
  4. Step 4: Simplify right side
    449,047.13x = 486,114,769,722.97
  5. Step 5: Solve for x
    x = 486,114,769,722.97/449,047.13
  6. Step 6: Final answer
    x = 1,082,547.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.