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Finding the Third Proportional to 288,762 and 444,420

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Solution

The third proportional to 288,762 and 444,420 is: 683,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,762 : 444,420 = 444,420 : x
  2. Step 2: Convert to fraction form
    288,762/444,420 = 444,420/x
  3. Step 3: Cross multiply
    288,762x = 444,420 × 444,420
  4. Step 4: Simplify right side
    288,762x = 197,509,136,400
  5. Step 5: Solve for x
    x = 197,509,136,400/288,762
  6. Step 6: Final answer
    x = 683,985.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.