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Finding the Third Proportional to 1,010,602.50 and 1,515,903

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Solution

The third proportional to 1,010,602.50 and 1,515,903 is: 2,273,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010,602.50 : 1,515,903 = 1,515,903 : x
  2. Step 2: Convert to fraction form
    1,010,602.50/1,515,903 = 1,515,903/x
  3. Step 3: Cross multiply
    1,010,602.50x = 1,515,903 × 1,515,903
  4. Step 4: Simplify right side
    1,010,602.50x = 2,297,961,905,409
  5. Step 5: Solve for x
    x = 2,297,961,905,409/1,010,602.50
  6. Step 6: Final answer
    x = 2,273,853.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.