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Finding the Third Proportional to 299,250 and 640,534.50

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Solution

The third proportional to 299,250 and 640,534.50 is: 1,371,042.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,250 : 640,534.50 = 640,534.50 : x
  2. Step 2: Convert to fraction form
    299,250/640,534.50 = 640,534.50/x
  3. Step 3: Cross multiply
    299,250x = 640,534.50 × 640,534.50
  4. Step 4: Simplify right side
    299,250x = 410,284,445,690.25
  5. Step 5: Solve for x
    x = 410,284,445,690.25/299,250
  6. Step 6: Final answer
    x = 1,371,042.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.