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Finding the Third Proportional to 425,908.50 and 910,912.50

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Solution

The third proportional to 425,908.50 and 910,912.50 is: 1,948,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,908.50 : 910,912.50 = 910,912.50 : x
  2. Step 2: Convert to fraction form
    425,908.50/910,912.50 = 910,912.50/x
  3. Step 3: Cross multiply
    425,908.50x = 910,912.50 × 910,912.50
  4. Step 4: Simplify right side
    425,908.50x = 829,761,582,656.25
  5. Step 5: Solve for x
    x = 829,761,582,656.25/425,908.50
  6. Step 6: Final answer
    x = 1,948,215.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.