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Finding the Third Proportional to 215,432.16 and 340,969.50

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Solution

The third proportional to 215,432.16 and 340,969.50 is: 539,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,432.16 : 340,969.50 = 340,969.50 : x
  2. Step 2: Convert to fraction form
    215,432.16/340,969.50 = 340,969.50/x
  3. Step 3: Cross multiply
    215,432.16x = 340,969.50 × 340,969.50
  4. Step 4: Simplify right side
    215,432.16x = 116,260,199,930.25
  5. Step 5: Solve for x
    x = 116,260,199,930.25/215,432.16
  6. Step 6: Final answer
    x = 539,660.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.