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Finding the Third Proportional to 425,856 and 931,200

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Solution

The third proportional to 425,856 and 931,200 is: 2,036,212.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,856 : 931,200 = 931,200 : x
  2. Step 2: Convert to fraction form
    425,856/931,200 = 931,200/x
  3. Step 3: Cross multiply
    425,856x = 931,200 × 931,200
  4. Step 4: Simplify right side
    425,856x = 867,133,440,000
  5. Step 5: Solve for x
    x = 867,133,440,000/425,856
  6. Step 6: Final answer
    x = 2,036,212.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.