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Finding the Third Proportional to 5,509,865.53 and 12,866,432.34

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Solution

The third proportional to 5,509,865.53 and 12,866,432.34 is: 30,045,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509,865.53 : 12,866,432.34 = 12,866,432.34 : x
  2. Step 2: Convert to fraction form
    5,509,865.53/12,866,432.34 = 12,866,432.34/x
  3. Step 3: Cross multiply
    5,509,865.53x = 12,866,432.34 × 12,866,432.34
  4. Step 4: Simplify right side
    5,509,865.53x = 165,545,081,256,296.12
  5. Step 5: Solve for x
    x = 165,545,081,256,296.12/5,509,865.53
  6. Step 6: Final answer
    x = 30,045,212.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.