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Finding the Third Proportional to 307,358 and 474,669

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Solution

The third proportional to 307,358 and 474,669 is: 733,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,358 : 474,669 = 474,669 : x
  2. Step 2: Convert to fraction form
    307,358/474,669 = 474,669/x
  3. Step 3: Cross multiply
    307,358x = 474,669 × 474,669
  4. Step 4: Simplify right side
    307,358x = 225,310,659,561
  5. Step 5: Solve for x
    x = 225,310,659,561/307,358
  6. Step 6: Final answer
    x = 733,056.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.