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Finding the Third Proportional to 687,187.86 and 1,465,640.26

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Solution

The third proportional to 687,187.86 and 1,465,640.26 is: 3,125,930.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,187.86 : 1,465,640.26 = 1,465,640.26 : x
  2. Step 2: Convert to fraction form
    687,187.86/1,465,640.26 = 1,465,640.26/x
  3. Step 3: Cross multiply
    687,187.86x = 1,465,640.26 × 1,465,640.26
  4. Step 4: Simplify right side
    687,187.86x = 2,148,101,376,771.15
  5. Step 5: Solve for x
    x = 2,148,101,376,771.15/687,187.86
  6. Step 6: Final answer
    x = 3,125,930.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.