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Finding the Third Proportional to 207,458 and 455,076

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Solution

The third proportional to 207,458 and 455,076 is: 998,246.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,458 : 455,076 = 455,076 : x
  2. Step 2: Convert to fraction form
    207,458/455,076 = 455,076/x
  3. Step 3: Cross multiply
    207,458x = 455,076 × 455,076
  4. Step 4: Simplify right side
    207,458x = 207,094,165,776
  5. Step 5: Solve for x
    x = 207,094,165,776/207,458
  6. Step 6: Final answer
    x = 998,246.23

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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.