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Finding the Third Proportional to 438,289 and 943,159

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Solution

The third proportional to 438,289 and 943,159 is: 2,029,594.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,289 : 943,159 = 943,159 : x
  2. Step 2: Convert to fraction form
    438,289/943,159 = 943,159/x
  3. Step 3: Cross multiply
    438,289x = 943,159 × 943,159
  4. Step 4: Simplify right side
    438,289x = 889,548,899,281
  5. Step 5: Solve for x
    x = 889,548,899,281/438,289
  6. Step 6: Final answer
    x = 2,029,594.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.