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Finding the Third Proportional to 285,720 and 427,184

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Solution

The third proportional to 285,720 and 427,184 is: 638,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,720 : 427,184 = 427,184 : x
  2. Step 2: Convert to fraction form
    285,720/427,184 = 427,184/x
  3. Step 3: Cross multiply
    285,720x = 427,184 × 427,184
  4. Step 4: Simplify right side
    285,720x = 182,486,169,856
  5. Step 5: Solve for x
    x = 182,486,169,856/285,720
  6. Step 6: Final answer
    x = 638,688.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.