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Finding the Third Proportional to 216,112.85 and 347,235.40

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Solution

The third proportional to 216,112.85 and 347,235.40 is: 557,914.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,112.85 : 347,235.40 = 347,235.40 : x
  2. Step 2: Convert to fraction form
    216,112.85/347,235.40 = 347,235.40/x
  3. Step 3: Cross multiply
    216,112.85x = 347,235.40 × 347,235.40
  4. Step 4: Simplify right side
    216,112.85x = 120,572,421,928.05
  5. Step 5: Solve for x
    x = 120,572,421,928.05/216,112.85
  6. Step 6: Final answer
    x = 557,914.17

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.