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Finding the Third Proportional to 286,776 and 445,500

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Solution

The third proportional to 286,776 and 445,500 is: 692,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,776 : 445,500 = 445,500 : x
  2. Step 2: Convert to fraction form
    286,776/445,500 = 445,500/x
  3. Step 3: Cross multiply
    286,776x = 445,500 × 445,500
  4. Step 4: Simplify right side
    286,776x = 198,470,250,000
  5. Step 5: Solve for x
    x = 198,470,250,000/286,776
  6. Step 6: Final answer
    x = 692,074.13

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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.