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Finding the Third Proportional to 659,052.70 and 988,579.69

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Solution

The third proportional to 659,052.70 and 988,579.69 is: 1,482,870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,052.70 : 988,579.69 = 988,579.69 : x
  2. Step 2: Convert to fraction form
    659,052.70/988,579.69 = 988,579.69/x
  3. Step 3: Cross multiply
    659,052.70x = 988,579.69 × 988,579.69
  4. Step 4: Simplify right side
    659,052.70x = 977,289,798,537.60
  5. Step 5: Solve for x
    x = 977,289,798,537.60/659,052.70
  6. Step 6: Final answer
    x = 1,482,870.48

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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.