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Finding the Third Proportional to 209,382 and 458,638.50

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Solution

The third proportional to 209,382 and 458,638.50 is: 1,004,619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,382 : 458,638.50 = 458,638.50 : x
  2. Step 2: Convert to fraction form
    209,382/458,638.50 = 458,638.50/x
  3. Step 3: Cross multiply
    209,382x = 458,638.50 × 458,638.50
  4. Step 4: Simplify right side
    209,382x = 210,349,273,682.25
  5. Step 5: Solve for x
    x = 210,349,273,682.25/209,382
  6. Step 6: Final answer
    x = 1,004,619.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.