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Finding the Third Proportional to 207,426 and 455,028

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Solution

The third proportional to 207,426 and 455,028 is: 998,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,426 : 455,028 = 455,028 : x
  2. Step 2: Convert to fraction form
    207,426/455,028 = 455,028/x
  3. Step 3: Cross multiply
    207,426x = 455,028 × 455,028
  4. Step 4: Simplify right side
    207,426x = 207,050,480,784
  5. Step 5: Solve for x
    x = 207,050,480,784/207,426
  6. Step 6: Final answer
    x = 998,189.62

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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.