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Finding the Third Proportional to 5,251,495.78 and 10,762,254.84

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Solution

The third proportional to 5,251,495.78 and 10,762,254.84 is: 22,055,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251,495.78 : 10,762,254.84 = 10,762,254.84 : x
  2. Step 2: Convert to fraction form
    5,251,495.78/10,762,254.84 = 10,762,254.84/x
  3. Step 3: Cross multiply
    5,251,495.78x = 10,762,254.84 × 10,762,254.84
  4. Step 4: Simplify right side
    5,251,495.78x = 115,826,129,321,820.34
  5. Step 5: Solve for x
    x = 115,826,129,321,820.34/5,251,495.78
  6. Step 6: Final answer
    x = 22,055,835.93

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.