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Finding the Third Proportional to 748,433.67 and 1,172,720.53

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Solution

The third proportional to 748,433.67 and 1,172,720.53 is: 1,837,535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,433.67 : 1,172,720.53 = 1,172,720.53 : x
  2. Step 2: Convert to fraction form
    748,433.67/1,172,720.53 = 1,172,720.53/x
  3. Step 3: Cross multiply
    748,433.67x = 1,172,720.53 × 1,172,720.53
  4. Step 4: Simplify right side
    748,433.67x = 1,375,273,444,415.28
  5. Step 5: Solve for x
    x = 1,375,273,444,415.28/748,433.67
  6. Step 6: Final answer
    x = 1,837,535.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.