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Finding the Third Proportional to 635,010 and 905,217.50

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Solution

The third proportional to 635,010 and 905,217.50 is: 1,290,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,010 : 905,217.50 = 905,217.50 : x
  2. Step 2: Convert to fraction form
    635,010/905,217.50 = 905,217.50/x
  3. Step 3: Cross multiply
    635,010x = 905,217.50 × 905,217.50
  4. Step 4: Simplify right side
    635,010x = 819,418,722,306.25
  5. Step 5: Solve for x
    x = 819,418,722,306.25/635,010
  6. Step 6: Final answer
    x = 1,290,402.86

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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.