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Finding the Third Proportional to 312,897.94 and 435,309.19

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Solution

The third proportional to 312,897.94 and 435,309.19 is: 605,609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,897.94 : 435,309.19 = 435,309.19 : x
  2. Step 2: Convert to fraction form
    312,897.94/435,309.19 = 435,309.19/x
  3. Step 3: Cross multiply
    312,897.94x = 435,309.19 × 435,309.19
  4. Step 4: Simplify right side
    312,897.94x = 189,494,088,721.91
  5. Step 5: Solve for x
    x = 189,494,088,721.91/312,897.94
  6. Step 6: Final answer
    x = 605,609.90

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.