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Finding the Third Proportional to 207,460 and 455,080

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Solution

The third proportional to 207,460 and 455,080 is: 998,254.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,460 : 455,080 = 455,080 : x
  2. Step 2: Convert to fraction form
    207,460/455,080 = 455,080/x
  3. Step 3: Cross multiply
    207,460x = 455,080 × 455,080
  4. Step 4: Simplify right side
    207,460x = 207,097,806,400
  5. Step 5: Solve for x
    x = 207,097,806,400/207,460
  6. Step 6: Final answer
    x = 998,254.15

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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.