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Finding the Third Proportional to 215,748 and 469,140.75

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Solution

The third proportional to 215,748 and 469,140.75 is: 1,020,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,748 : 469,140.75 = 469,140.75 : x
  2. Step 2: Convert to fraction form
    215,748/469,140.75 = 469,140.75/x
  3. Step 3: Cross multiply
    215,748x = 469,140.75 × 469,140.75
  4. Step 4: Simplify right side
    215,748x = 220,093,043,310.56
  5. Step 5: Solve for x
    x = 220,093,043,310.56/215,748
  6. Step 6: Final answer
    x = 1,020,139.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.