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Finding the Third Proportional to 147,274 and 307,669

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Solution

The third proportional to 147,274 and 307,669 is: 642,748.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,274 : 307,669 = 307,669 : x
  2. Step 2: Convert to fraction form
    147,274/307,669 = 307,669/x
  3. Step 3: Cross multiply
    147,274x = 307,669 × 307,669
  4. Step 4: Simplify right side
    147,274x = 94,660,213,561
  5. Step 5: Solve for x
    x = 94,660,213,561/147,274
  6. Step 6: Final answer
    x = 642,748.98

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.