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Finding the Third Proportional to 517,585 and 790,201.50

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Solution

The third proportional to 517,585 and 790,201.50 is: 1,206,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,585 : 790,201.50 = 790,201.50 : x
  2. Step 2: Convert to fraction form
    517,585/790,201.50 = 790,201.50/x
  3. Step 3: Cross multiply
    517,585x = 790,201.50 × 790,201.50
  4. Step 4: Simplify right side
    517,585x = 624,418,410,602.25
  5. Step 5: Solve for x
    x = 624,418,410,602.25/517,585
  6. Step 6: Final answer
    x = 1,206,407.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.