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Finding the Third Proportional to 207,915 and 455,606

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Solution

The third proportional to 207,915 and 455,606 is: 998,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,915 : 455,606 = 455,606 : x
  2. Step 2: Convert to fraction form
    207,915/455,606 = 455,606/x
  3. Step 3: Cross multiply
    207,915x = 455,606 × 455,606
  4. Step 4: Simplify right side
    207,915x = 207,576,827,236
  5. Step 5: Solve for x
    x = 207,576,827,236/207,915
  6. Step 6: Final answer
    x = 998,373.50

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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.