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Finding the Third Proportional to 426,189.50 and 647,060.25

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Solution

The third proportional to 426,189.50 and 647,060.25 is: 982,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,189.50 : 647,060.25 = 647,060.25 : x
  2. Step 2: Convert to fraction form
    426,189.50/647,060.25 = 647,060.25/x
  3. Step 3: Cross multiply
    426,189.50x = 647,060.25 × 647,060.25
  4. Step 4: Simplify right side
    426,189.50x = 418,686,967,130.06
  5. Step 5: Solve for x
    x = 418,686,967,130.06/426,189.50
  6. Step 6: Final answer
    x = 982,396.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.