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Finding the Third Proportional to 486,679.50 and 725,980.50

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Solution

The third proportional to 486,679.50 and 725,980.50 is: 1,082,946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,679.50 : 725,980.50 = 725,980.50 : x
  2. Step 2: Convert to fraction form
    486,679.50/725,980.50 = 725,980.50/x
  3. Step 3: Cross multiply
    486,679.50x = 725,980.50 × 725,980.50
  4. Step 4: Simplify right side
    486,679.50x = 527,047,686,380.25
  5. Step 5: Solve for x
    x = 527,047,686,380.25/486,679.50
  6. Step 6: Final answer
    x = 1,082,946.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.