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Finding the Third Proportional to 310,077 and 420,818

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Solution

The third proportional to 310,077 and 420,818 is: 571,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,077 : 420,818 = 420,818 : x
  2. Step 2: Convert to fraction form
    310,077/420,818 = 420,818/x
  3. Step 3: Cross multiply
    310,077x = 420,818 × 420,818
  4. Step 4: Simplify right side
    310,077x = 177,087,789,124
  5. Step 5: Solve for x
    x = 177,087,789,124/310,077
  6. Step 6: Final answer
    x = 571,109.08

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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.