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Finding the Third Proportional to 310,725 and 673,290

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Solution

The third proportional to 310,725 and 673,290 is: 1,458,908.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,725 : 673,290 = 673,290 : x
  2. Step 2: Convert to fraction form
    310,725/673,290 = 673,290/x
  3. Step 3: Cross multiply
    310,725x = 673,290 × 673,290
  4. Step 4: Simplify right side
    310,725x = 453,319,424,100
  5. Step 5: Solve for x
    x = 453,319,424,100/310,725
  6. Step 6: Final answer
    x = 1,458,908.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.