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Finding the Third Proportional to 285,876 and 420,240

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Solution

The third proportional to 285,876 and 420,240 is: 617,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,876 : 420,240 = 420,240 : x
  2. Step 2: Convert to fraction form
    285,876/420,240 = 420,240/x
  3. Step 3: Cross multiply
    285,876x = 420,240 × 420,240
  4. Step 4: Simplify right side
    285,876x = 176,601,657,600
  5. Step 5: Solve for x
    x = 176,601,657,600/285,876
  6. Step 6: Final answer
    x = 617,756.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.