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Finding the Third Proportional to 310,087 and 420,833

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Solution

The third proportional to 310,087 and 420,833 is: 571,131.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,087 : 420,833 = 420,833 : x
  2. Step 2: Convert to fraction form
    310,087/420,833 = 420,833/x
  3. Step 3: Cross multiply
    310,087x = 420,833 × 420,833
  4. Step 4: Simplify right side
    310,087x = 177,100,413,889
  5. Step 5: Solve for x
    x = 177,100,413,889/310,087
  6. Step 6: Final answer
    x = 571,131.37

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.