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Finding the Third Proportional to 635,044.50 and 905,271.75

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Solution

The third proportional to 635,044.50 and 905,271.75 is: 1,290,487.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,044.50 : 905,271.75 = 905,271.75 : x
  2. Step 2: Convert to fraction form
    635,044.50/905,271.75 = 905,271.75/x
  3. Step 3: Cross multiply
    635,044.50x = 905,271.75 × 905,271.75
  4. Step 4: Simplify right side
    635,044.50x = 819,516,941,348.06
  5. Step 5: Solve for x
    x = 819,516,941,348.06/635,044.50
  6. Step 6: Final answer
    x = 1,290,487.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.