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Finding the Third Proportional to 45,309 and 68,962.50

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Solution

The third proportional to 45,309 and 68,962.50 is: 104,964.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,309 : 68,962.50 = 68,962.50 : x
  2. Step 2: Convert to fraction form
    45,309/68,962.50 = 68,962.50/x
  3. Step 3: Cross multiply
    45,309x = 68,962.50 × 68,962.50
  4. Step 4: Simplify right side
    45,309x = 4,755,826,406.25
  5. Step 5: Solve for x
    x = 4,755,826,406.25/45,309
  6. Step 6: Final answer
    x = 104,964.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.