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Finding the Third Proportional to 458,605.13 and 686,809.13

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Solution

The third proportional to 458,605.13 and 686,809.13 is: 1,028,568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,605.13 : 686,809.13 = 686,809.13 : x
  2. Step 2: Convert to fraction form
    458,605.13/686,809.13 = 686,809.13/x
  3. Step 3: Cross multiply
    458,605.13x = 686,809.13 × 686,809.13
  4. Step 4: Simplify right side
    458,605.13x = 471,706,774,183.27
  5. Step 5: Solve for x
    x = 471,706,774,183.27/458,605.13
  6. Step 6: Final answer
    x = 1,028,568.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.