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Finding the Third Proportional to 307,922 and 472,364

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Solution

The third proportional to 307,922 and 472,364 is: 724,624.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,922 : 472,364 = 472,364 : x
  2. Step 2: Convert to fraction form
    307,922/472,364 = 472,364/x
  3. Step 3: Cross multiply
    307,922x = 472,364 × 472,364
  4. Step 4: Simplify right side
    307,922x = 223,127,748,496
  5. Step 5: Solve for x
    x = 223,127,748,496/307,922
  6. Step 6: Final answer
    x = 724,624.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.