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Finding the Third Proportional to 140,767 and 207,417

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Solution

The third proportional to 140,767 and 207,417 is: 305,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,767 : 207,417 = 207,417 : x
  2. Step 2: Convert to fraction form
    140,767/207,417 = 207,417/x
  3. Step 3: Cross multiply
    140,767x = 207,417 × 207,417
  4. Step 4: Simplify right side
    140,767x = 43,021,811,889
  5. Step 5: Solve for x
    x = 43,021,811,889/140,767
  6. Step 6: Final answer
    x = 305,624.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.