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Finding the Third Proportional to 209,636 and 465,712

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Solution

The third proportional to 209,636 and 465,712 is: 1,034,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,636 : 465,712 = 465,712 : x
  2. Step 2: Convert to fraction form
    209,636/465,712 = 465,712/x
  3. Step 3: Cross multiply
    209,636x = 465,712 × 465,712
  4. Step 4: Simplify right side
    209,636x = 216,887,666,944
  5. Step 5: Solve for x
    x = 216,887,666,944/209,636
  6. Step 6: Final answer
    x = 1,034,591.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.