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Finding the Third Proportional to 207,488 and 455,148

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Solution

The third proportional to 207,488 and 455,148 is: 998,417.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,488 : 455,148 = 455,148 : x
  2. Step 2: Convert to fraction form
    207,488/455,148 = 455,148/x
  3. Step 3: Cross multiply
    207,488x = 455,148 × 455,148
  4. Step 4: Simplify right side
    207,488x = 207,159,701,904
  5. Step 5: Solve for x
    x = 207,159,701,904/207,488
  6. Step 6: Final answer
    x = 998,417.75

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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.