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Finding the Third Proportional to 288,936 and 430,920

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Solution

The third proportional to 288,936 and 430,920 is: 642,675.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,936 : 430,920 = 430,920 : x
  2. Step 2: Convert to fraction form
    288,936/430,920 = 430,920/x
  3. Step 3: Cross multiply
    288,936x = 430,920 × 430,920
  4. Step 4: Simplify right side
    288,936x = 185,692,046,400
  5. Step 5: Solve for x
    x = 185,692,046,400/288,936
  6. Step 6: Final answer
    x = 642,675.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.