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Finding the Third Proportional to 312,140.39 and 671,654.53

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Solution

The third proportional to 312,140.39 and 671,654.53 is: 1,445,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,140.39 : 671,654.53 = 671,654.53 : x
  2. Step 2: Convert to fraction form
    312,140.39/671,654.53 = 671,654.53/x
  3. Step 3: Cross multiply
    312,140.39x = 671,654.53 × 671,654.53
  4. Step 4: Simplify right side
    312,140.39x = 451,119,809,348.66
  5. Step 5: Solve for x
    x = 451,119,809,348.66/312,140.39
  6. Step 6: Final answer
    x = 1,445,246.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.