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Finding the Third Proportional to 286,796 and 445,534

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Solution

The third proportional to 286,796 and 445,534 is: 692,131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,796 : 445,534 = 445,534 : x
  2. Step 2: Convert to fraction form
    286,796/445,534 = 445,534/x
  3. Step 3: Cross multiply
    286,796x = 445,534 × 445,534
  4. Step 4: Simplify right side
    286,796x = 198,500,545,156
  5. Step 5: Solve for x
    x = 198,500,545,156/286,796
  6. Step 6: Final answer
    x = 692,131.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.