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Finding the Third Proportional to 640,588.50 and 982,290.38

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Solution

The third proportional to 640,588.50 and 982,290.38 is: 1,506,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,588.50 : 982,290.38 = 982,290.38 : x
  2. Step 2: Convert to fraction form
    640,588.50/982,290.38 = 982,290.38/x
  3. Step 3: Cross multiply
    640,588.50x = 982,290.38 × 982,290.38
  4. Step 4: Simplify right side
    640,588.50x = 964,894,380,817.64
  5. Step 5: Solve for x
    x = 964,894,380,817.64/640,588.50
  6. Step 6: Final answer
    x = 1,506,262.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.