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Finding the Third Proportional to 425,157 and 933,248.25

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Solution

The third proportional to 425,157 and 933,248.25 is: 2,048,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,157 : 933,248.25 = 933,248.25 : x
  2. Step 2: Convert to fraction form
    425,157/933,248.25 = 933,248.25/x
  3. Step 3: Cross multiply
    425,157x = 933,248.25 × 933,248.25
  4. Step 4: Simplify right side
    425,157x = 870,952,296,128.06
  5. Step 5: Solve for x
    x = 870,952,296,128.06/425,157
  6. Step 6: Final answer
    x = 2,048,542.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.