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Finding the Third Proportional to 209,712 and 456,288

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Solution

The third proportional to 209,712 and 456,288 is: 992,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,712 : 456,288 = 456,288 : x
  2. Step 2: Convert to fraction form
    209,712/456,288 = 456,288/x
  3. Step 3: Cross multiply
    209,712x = 456,288 × 456,288
  4. Step 4: Simplify right side
    209,712x = 208,198,738,944
  5. Step 5: Solve for x
    x = 208,198,738,944/209,712
  6. Step 6: Final answer
    x = 992,784.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.