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Finding the Third Proportional to 44,320.50 and 93,288

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Solution

The third proportional to 44,320.50 and 93,288 is: 196,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,320.50 : 93,288 = 93,288 : x
  2. Step 2: Convert to fraction form
    44,320.50/93,288 = 93,288/x
  3. Step 3: Cross multiply
    44,320.50x = 93,288 × 93,288
  4. Step 4: Simplify right side
    44,320.50x = 8,702,650,944
  5. Step 5: Solve for x
    x = 8,702,650,944/44,320.50
  6. Step 6: Final answer
    x = 196,357.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.